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1156331241344 = 27372933972099
BaseRepresentation
bin10000110100111010101…
…101100111111110000000
311002112200201020022201202
4100310322231213332000
5122421131244210334
62243113343320332
7146353652243606
oct20647255477600
94075621208652
101156331241344
11406440927404
12168130bb00a8
138507042c846
143dd769cd876
152012b0ae17e
hex10d3ab67f80

1156331241344 has 128 divisors (see below), whose sum is σ = 2381077188000. Its totient is φ = 558941036544.

The previous prime is 1156331241337. The next prime is 1156331241353. The reversal of 1156331241344 is 4431421336511.

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

It is a junction number, because it is equal to n+sod(n) for n = 1156331241298 and 1156331241307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 550895207 + ... + 550897305.

Almost surely, 21156331241344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1156331241344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190538594000).

1156331241344 is an abundant number, since it is smaller than the sum of its proper divisors (1224745946656).

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

1156331241344 is a wasteful number, since it uses less digits than its factorization.

1156331241344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2840 (or 2828 counting only the distinct ones).

The product of its digits is 103680, while the sum is 38.

Adding to 1156331241344 its reverse (4431421336511), we get a palindrome (5587752577855).

The spelling of 1156331241344 in words is "one trillion, one hundred fifty-six billion, three hundred thirty-one million, two hundred forty-one thousand, three hundred forty-four".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 293 296 397 586 592 794 1172 1184 1588 2099 2344 2368 3176 4198 4688 4736 6352 8396 9376 10841 12704 14689 16792 18752 21682 25408 29378 33584 37504 43364 50816 58756 67168 77663 86728 116321 117512 134336 155326 173456 232642 235024 268672 310652 346912 465284 470048 615007 621304 693824 833303 930568 940096 1230014 1242608 1387648 1666606 1861136 1880192 2460028 2485216 3333212 3722272 4303877 4920056 4970432 6666424 7444544 8607754 9840112 9940864 13332848 14889088 17215508 19680224 22755259 26665696 30832211 34431016 39360448 45510518 53331392 61664422 68862032 78720896 91021036 106662784 123328844 137724064 182042072 244157779 246657688 275448128 364084144 488315558 493315376 550896256 728168288 976631116 986630752 1456336576 1953262232 1973261504 2912673152 3906524464 3946523008 7813048928 9033837823 15626097856 18067675646 31252195712 36135351292 72270702584 144541405168 289082810336 578165620672 1156331241344