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132400034140110 = 235116611301466547
BaseRepresentation
bin11110000110101011001001…
…000000001100111111001110
3122100210022122000200000011020
4132012223021000030333032
5114323220232214440420
61145331422550535010
736613405162251432
oct3606531100147716
9570708560600136
10132400034140110
11392065a2679380
1212a2401b667466
1358b536754c129
14249a2a557a9c2
151049066e65340
hex786ac900cfce

132400034140110 has 128 divisors (see below), whose sum is σ = 347439385456128. Its totient is φ = 32023717440000.

The previous prime is 132400034140091. The next prime is 132400034140189. The reversal of 132400034140110 is 11041430004231.

It is a super-2 number, since 2×1324000341401102 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 283553857 + ... + 284020403.

It is an arithmetic number, because the mean of its divisors is an integer number (2714370198876).

Almost surely, 2132400034140110 is an apocalyptic number.

132400034140110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132400034140110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173719692728064).

132400034140110 is an abundant number, since it is smaller than the sum of its proper divisors (215039351316018).

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

132400034140110 is a wasteful number, since it uses less digits than its factorization.

132400034140110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 468530.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 132400034140110 its reverse (11041430004231), we get a palindrome (143441464144341).

The spelling of 132400034140110 in words is "one hundred thirty-two trillion, four hundred billion, thirty-four million, one hundred forty thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 55 66 110 165 330 661 1301 1322 1983 2602 3305 3903 3966 6505 6610 7271 7806 9915 13010 14311 14542 19515 19830 21813 28622 36355 39030 42933 43626 71555 72710 85866 109065 143110 214665 218130 429330 466547 859961 933094 1399641 1719922 2332735 2579883 2799282 4299805 4665470 5132017 5159766 6998205 8599610 9459571 10264034 12899415 13996410 15396051 18919142 25660085 25798830 28378713 30792102 47297855 51320170 56757426 76980255 94595710 141893565 153960510 283787130 308387567 606977647 616775134 925162701 1213955294 1541937835 1820932941 1850325402 3034888235 3083875670 3392263237 3641865882 4625813505 6069776470 6676754117 6784526474 9104664705 9251627010 10176789711 13353508234 16961316185 18209329410 20030262351 20353579422 33383770585 33922632370 40060524702 50883948555 66767541170 100151311755 101767897110 200302623510 401212224667 802424449334 1203636674001 2006061123335 2407273348002 4012122246670 4413334471337 6018183370005 8826668942674 12036366740010 13240003414011 22066672356685 26480006828022 44133344713370 66200017070055 132400034140110