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13110044231040 = 273514759462643
BaseRepresentation
bin1011111011000110101110…
…0001111000010110000000
31201102022022112010200020020
42332301223201320112000
53204243332310343130
643514400550213440
72522112055211331
oct276615341702600
951368275120206
1013110044231040
1141a4a36210289
121578993354280
1374136c3a0923
1433475b040288
1517b0505b9e10
hexbec6b878580

13110044231040 has 128 divisors (see below), whose sum is σ = 41791187692800. Its totient is φ = 3495767365632.

The previous prime is 13110044231027. The next prime is 13110044231041. The reversal of 13110044231040 is 4013244001131.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 13110044231040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13110044231041) 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, 28105959 + ... + 28568601.

It is an arithmetic number, because the mean of its divisors is an integer number (326493653850).

Almost surely, 213110044231040 is an apocalyptic number.

13110044231040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13110044231040 is an abundant number, since it is smaller than the sum of its proper divisors (28681143461760).

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

13110044231040 is a wasteful number, since it uses less digits than its factorization.

13110044231040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 477424 (or 477412 counting only the distinct ones).

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

Adding to 13110044231040 its reverse (4013244001131), we get a palindrome (17123288232171).

The spelling of 13110044231040 in words is "thirteen trillion, one hundred ten billion, forty-four million, two hundred thirty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 14759 29518 44277 59036 73795 88554 118072 147590 177108 221385 236144 295180 354216 442770 462643 472288 590360 708432 885540 925286 944576 1180720 1387929 1416864 1771080 1850572 1889152 2313215 2361440 2775858 2833728 3542160 3701144 4626430 4722880 5551716 5667456 6939645 7084320 7402288 9252860 9445760 11103432 13879290 14168640 14804576 18505720 22206864 27758580 28337280 29609152 37011440 44413728 55517160 59218304 74022880 88827456 111034320 148045760 177654912 222068640 296091520 444137280 888274560 6828148037 13656296074 20484444111 27312592148 34140740185 40968888222 54625184296 68281480370 81937776444 102422220555 109250368592 136562960740 163875552888 204844441110 218500737184 273125921480 327751105776 409688882220 437001474368 546251842960 655502211552 819377764440 874002948736 1092503685920 1311004423104 1638755528880 2185007371840 2622008846208 3277511057760 4370014743680 6555022115520 13110044231040