Search a number
-
+
101543354900440 = 23516731907476419
BaseRepresentation
bin10111000101101001100111…
…100110010001111111011000
3111022112110010222211210201121
4113011221213212101333120
5101302141242323303230
6555544212342255024
730250156665301405
oct2705514746217730
9438473128753647
10101543354900440
112a39a32767a9a2
12b47b948127474
1344876606a6b9b
141b10a204372ac
15bb1597e4a77a
hex5c5a67991fd8

101543354900440 has 64 divisors (see below), whose sum is σ = 229848333523200. Its totient is φ = 40372774232448.

The previous prime is 101543354900423. The next prime is 101543354900441. The reversal of 101543354900440 is 44009453345101.

It is a super-2 number, since 2×1015433549004402 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101543354900441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 212900551 + ... + 213376969.

It is an arithmetic number, because the mean of its divisors is an integer number (3591380211300).

Almost surely, 2101543354900440 is an apocalyptic number.

101543354900440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101543354900440 is an abundant number, since it is smaller than the sum of its proper divisors (128304978622760).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

101543354900440 is a wasteful number, since it uses less digits than its factorization.

101543354900440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 508504 (or 508500 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 43.

The spelling of 101543354900440 in words is "one hundred one trillion, five hundred forty-three billion, three hundred fifty-four million, nine hundred thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1670 3340 6680 31907 63814 127628 159535 255256 319070 476419 638140 952838 1276280 1905676 2382095 3811352 4764190 5328469 9528380 10656938 19056760 21313876 26642345 42627752 53284690 79561973 106569380 159123946 213138760 318247892 397809865 636495784 795619730 1591239460 3182478920 15201101033 30402202066 60804404132 76005505165 121608808264 152011010330 304022020660 608044041320 2538583872511 5077167745022 10154335490044 12692919362555 20308670980088 25385838725110 50771677450220 101543354900440