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1155612630240 = 253255737139883
BaseRepresentation
bin10000110100001111111…
…000010101110011100000
311002110211122001002121200
4100310033320111303200
5122413143313131430
62242514153121200
7146330105166525
oct20641770256340
94073748032550
101155612630240
11406102226232
12167b703b9200
1384c875a5283
143dd093ad14c
15200d7e62460
hex10d0fe15ce0

1155612630240 has 144 divisors (see below), whose sum is σ = 3944243682288. Its totient is φ = 308107450368.

The previous prime is 1155612630121. The next prime is 1155612630241. The reversal of 1155612630240 is 420362165511.

1155612630240 is a `hidden beast` number, since 1 + 1 + 5 + 5 + 6 + 12 + 630 + 2 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 1155612630195 and 1155612630204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1155612630241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8191339 + ... + 8331221.

It is an arithmetic number, because the mean of its divisors is an integer number (27390581127).

Almost surely, 21155612630240 is an apocalyptic number.

1155612630240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1155612630240 is an abundant number, since it is smaller than the sum of its proper divisors (2788631052048).

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

1155612630240 is a wasteful number, since it uses less digits than its factorization.

1155612630240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145641 (or 145630 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 1155612630240 its reverse (420362165511), we get a palindrome (1575974795751).

The spelling of 1155612630240 in words is "one trillion, one hundred fifty-five billion, six hundred twelve million, six hundred thirty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 5737 11474 17211 22948 28685 34422 45896 51633 57370 68844 86055 91792 103266 114740 137688 139883 172110 183584 206532 229480 258165 275376 279766 344220 413064 419649 458960 516330 550752 559532 688440 699415 826128 839298 917920 1032660 1119064 1258947 1376880 1398830 1652256 1678596 2065320 2098245 2238128 2517894 2753760 2797660 3357192 4130640 4196490 4476256 5035788 5595320 6294735 6714384 8261280 8392980 10071576 11190640 12589470 13428768 16785960 20143152 22381280 25178940 33571920 40286304 50357880 67143840 100715760 201431520 802508771 1605017542 2407526313 3210035084 4012543855 4815052626 6420070168 7222578939 8025087710 9630105252 12037631565 12840140336 14445157878 16050175420 19260210504 24075263130 25680280672 28890315756 32100350840 36112894695 38520421008 48150526260 57780631512 64200701680 72225789390 77040842016 96301052520 115561263024 128401403360 144451578780 192602105040 231122526048 288903157560 385204210080 577806315120 1155612630240