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1042300231936 = 28195317323371
BaseRepresentation
bin11110010101011011110…
…11110110000100000000
310200122100200202211222221
433022231323312010000
5114034112324410221
62114454235140424
7135206112535255
oct17125573660400
93618320684887
101042300231936
11372045343267
1214a0082a4714
1377399a74992
143863a30342c
151c1a5168541
hexf2adef6100

1042300231936 has 144 divisors (see below), whose sum is σ = 2244345848640. Its totient is φ = 481585029120.

The previous prime is 1042300231919. The next prime is 1042300231963. The reversal of 1042300231936 is 6391320032401.

1042300231936 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 44586331 + ... + 44609701.

It is an arithmetic number, because the mean of its divisors is an integer number (15585735060).

Almost surely, 21042300231936 is an apocalyptic number.

1042300231936 is a gapful number since it is divisible by the number (16) 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 1042300231936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1122172924320).

1042300231936 is an abundant number, since it is smaller than the sum of its proper divisors (1202045616704).

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

1042300231936 is a wasteful number, since it uses less digits than its factorization.

1042300231936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23632 (or 23618 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 34.

The spelling of 1042300231936 in words is "one trillion, forty-two billion, three hundred million, two hundred thirty-one thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 19 32 38 53 64 76 106 128 152 173 212 256 304 346 424 608 692 848 1007 1216 1384 1696 2014 2432 2768 3287 3392 4028 4864 5536 6574 6784 8056 9169 11072 13148 13568 16112 18338 22144 23371 26296 32224 36676 44288 46742 52592 64448 73352 93484 105184 128896 146704 174211 186968 210368 257792 293408 348422 373936 420736 444049 586816 696844 747872 841472 888098 1173632 1238663 1393688 1495744 1776196 2347264 2477326 2787376 2991488 3552392 4043183 4954652 5574752 5982976 7104784 8086366 9909304 11149504 14209568 16172732 19818608 22299008 23534597 28419136 32345464 39637216 44598016 47069194 56838272 64690928 76820477 79274432 94138388 113676544 129381856 153640954 158548864 188276776 214288699 258763712 307281908 317097728 376553552 428577398 517527424 614563816 753107104 857154796 1035054848 1229127632 1506214208 1714309592 2458255264 3012428416 3428619184 4071485281 4916510528 6024856832 6857238368 8142970562 9833021056 13714476736 16285941124 19666042112 27428953472 32571882248 54857906944 65143764496 130287528992 260575057984 521150115968 1042300231936