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1045234444032 = 2833215370237
BaseRepresentation
bin11110011010111001101…
…00111110011100000000
310200220221012000021022000
433031130310332130000
5114111120004202112
62120101333344000
7135341612116422
oct17153464763400
93626835007260
101045234444032
1137331065a239
1214a6a6a98000
137774693395c
1438837ca2812
151c2c7a647dc
hexf35cd3e700

1045234444032 has 144 divisors (see below), whose sum is σ = 3092421806880. Its totient is φ = 348244697088.

The previous prime is 1045234444031. The next prime is 1045234444043. The reversal of 1045234444032 is 2304444325401.

1045234444032 is a `hidden beast` number, since 10 + 4 + 5 + 234 + 4 + 4 + 403 + 2 = 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 congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045234444031) 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, 14846418 + ... + 14916654.

Almost surely, 21045234444032 is an apocalyptic number.

1045234444032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045234444032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546210903440).

1045234444032 is an abundant number, since it is smaller than the sum of its proper divisors (2047187362848).

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

1045234444032 is an equidigital number, since it uses as much as digits as its factorization.

1045234444032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72415 (or 72395 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 1045234444032 its reverse (2304444325401), we get a palindrome (3349678769433).

The spelling of 1045234444032 in words is "one trillion, forty-five billion, two hundred thirty-four million, four hundred forty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 576 768 864 1152 1728 2153 2304 3456 4306 6459 6912 8612 12918 17224 19377 25836 34448 38754 51672 58131 68896 70237 77508 103344 116262 137792 140474 155016 206688 210711 232524 275584 280948 310032 413376 421422 465048 551168 561896 620064 632133 826752 842844 930096 1123792 1240128 1264266 1653504 1685688 1860192 1896399 2247584 2480256 2528532 3371376 3720384 3792798 4495168 4960512 5057064 6742752 7440768 7585596 8990336 10114128 13485504 14881536 15171192 17980672 20228256 26971008 30342384 40456512 53942016 60684768 80913024 121369536 151220261 161826048 242739072 302440522 453660783 485478144 604881044 907321566 1209762088 1360982349 1814643132 2419524176 2721964698 3629286264 4082947047 4839048352 5443929396 7258572528 8165894094 9678096704 10887858792 14517145056 16331788188 19356193408 21775717584 29034290112 32663576376 38712386816 43551435168 58068580224 65327152752 87102870336 116137160448 130654305504 174205740672 261308611008 348411481344 522617222016 1045234444032