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1143139198464 = 2933682912109
BaseRepresentation
bin10000101000101000011…
…001111110011000000000
311001021122100002002222000
4100220220121332120000
5122212122113322324
62233052332144000
7145406024602314
oct20505031763000
94037570062860
101143139198464
1140089130432a
1216566b008000
1383a4a32b603
143d484953b44
151eb07d759c9
hex10a2867e600

1143139198464 has 160 divisors (see below), whose sum is σ = 3384546396000. Its totient is φ = 380959137792.

The previous prime is 1143139198447. The next prime is 1143139198493. The reversal of 1143139198464 is 4648919313411.

1143139198464 is a `hidden beast` number, since 1 + 1 + 4 + 3 + 1 + 3 + 91 + 98 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 1143139198464.

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, 94398042 + ... + 94410150.

It is an arithmetic number, because the mean of its divisors is an integer number (21153414975).

Almost surely, 21143139198464 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 1143139198464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1692273198000).

1143139198464 is an abundant number, since it is smaller than the sum of its proper divisors (2241407197536).

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

1143139198464 is an equidigital number, since it uses as much as digits as its factorization.

1143139198464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18965 (or 18943 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 54.

The spelling of 1143139198464 in words is "one trillion, one hundred forty-three billion, one hundred thirty-nine million, one hundred ninety-eight thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 128 144 192 216 256 288 384 432 512 576 768 864 1152 1536 1728 2304 3456 4608 6829 6912 12109 13658 13824 20487 24218 27316 36327 40974 48436 54632 61461 72654 81948 96872 108981 109264 122922 145308 163896 184383 193744 217962 218528 245844 290616 326943 327792 368766 387488 435924 437056 491688 581232 653886 655584 737532 774976 871848 874112 983376 1162464 1307772 1311168 1475064 1549952 1743696 1748224 1966752 2324928 2615544 2622336 2950128 3099904 3487392 3496448 3933504 4649856 5231088 5244672 5900256 6199808 6974784 7867008 9299712 10462176 10489344 11800512 13949568 15734016 18599424 20924352 23601024 27899136 31468032 41848704 47202048 55798272 82692361 83697408 94404096 165384722 167394816 248077083 330769444 496154166 661538888 744231249 992308332 1323077776 1488462498 1984616664 2232693747 2646155552 2976924996 3969233328 4465387494 5292311104 5953849992 7938466656 8930774988 10584622208 11907699984 15876933312 17861549976 21169244416 23815399968 31753866624 35723099952 42338488832 47630799936 63507733248 71446199904 95261599872 127015466496 142892399808 190523199744 285784799616 381046399488 571569599232 1143139198464