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1097956414940 = 2257114663152897
BaseRepresentation
bin11111111101000110100…
…11010101010111011100
310212222000110200220001012
433332203103111113130
5120442103320234230
62200221052234352
7142216245353420
oct17764323252734
93788013626035
101097956414940
11393705855320
1215895b46b9b8
137c6c95b0648
143b1d9d04b80
151d86137e395
hexffa34d55dc

1097956414940 has 96 divisors (see below), whose sum is σ = 2875284808704. Its totient is φ = 342144552960.

The previous prime is 1097956414901. The next prime is 1097956414943. The reversal of 1097956414940 is 494146597901.

It is a self number, because there is not a number n which added to its sum of digits gives 1097956414940.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1097956414943) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7104572 + ... + 7257468.

It is an arithmetic number, because the mean of its divisors is an integer number (29950883424).

Almost surely, 21097956414940 is an apocalyptic number.

1097956414940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1097956414940 is an abundant number, since it is smaller than the sum of its proper divisors (1777328393764).

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

1097956414940 is a wasteful number, since it uses less digits than its factorization.

1097956414940 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157587 (or 157585 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 59.

The spelling of 1097956414940 in words is "one trillion, ninety-seven billion, nine hundred fifty-six million, four hundred fourteen thousand, nine hundred forty".

Divisors: 1 2 4 5 7 10 11 14 20 22 28 35 44 55 70 77 110 140 154 220 308 385 770 1540 4663 9326 18652 23315 32641 46630 51293 65282 93260 102586 130564 152897 163205 205172 256465 305794 326410 359051 512930 611588 652820 718102 764485 1025860 1070279 1436204 1528970 1681867 1795255 2140558 3057940 3363734 3590510 4281116 5351395 6727468 7181020 8409335 10702790 11773069 16818670 21405580 23546138 33637340 47092276 58865345 117730690 235461380 712958711 1425917422 2851834844 3564793555 4990710977 7129587110 7842545821 9981421954 14259174220 15685091642 19962843908 24953554885 31370183284 39212729105 49907109770 54897820747 78425458210 99814219540 109795641494 156850916420 219591282988 274489103735 548978207470 1097956414940