Search a number
-
+
1140057425920 = 2115722272117
BaseRepresentation
bin10000100101110000101…
…101111100100000000000
311000222200120011211210011
4100211300231330200000
5122134314200112140
62231422443114304
7145236454141600
oct20456055744000
94028616154704
101140057425920
113aa54a771a76
12164b4ab12994
1383678a15c6a
143d271542c00
151e9c752ccea
hex10970b7c800

1140057425920 has 144 divisors (see below), whose sum is σ = 3182078537820. Its totient is φ = 390876659712.

The previous prime is 1140057425909. The next prime is 1140057425971. The reversal of 1140057425920 is 295247500411.

It can be written as a sum of positive squares in 2 ways, for example, as 1103205712896 + 36851713024 = 1050336^2 + 191968^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 634299 + ... + 1637818.

Almost surely, 21140057425920 is an apocalyptic number.

1140057425920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1140057425920 is an abundant number, since it is smaller than the sum of its proper divisors (2042021111900).

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

1140057425920 is an equidigital number, since it uses as much as digits as its factorization.

1140057425920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2272158 (or 2272131 counting only the distinct ones).

The product of its (nonzero) digits is 100800, while the sum is 40.

The spelling of 1140057425920 in words is "one trillion, one hundred forty billion, fifty-seven million, four hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 49 56 64 70 80 98 112 128 140 160 196 224 245 256 280 320 392 448 490 512 560 640 784 896 980 1024 1120 1280 1568 1792 1960 2048 2240 2560 3136 3584 3920 4480 5120 6272 7168 7840 8960 10240 12544 14336 15680 17920 25088 31360 35840 50176 62720 71680 100352 125440 250880 501760 2272117 4544234 9088468 11360585 15904819 18176936 22721170 31809638 36353872 45442340 63619276 72707744 79524095 90884680 111333733 127238552 145415488 159048190 181769360 222667466 254477104 290830976 318096380 363538720 445334932 508954208 556668665 581661952 636192760 727077440 890669864 1017908416 1113337330 1163323904 1272385520 1454154880 1781339728 2035816832 2226674660 2326647808 2544771040 2908309760 3562679456 4071633664 4453349320 4653295616 5089542080 5816619520 7125358912 8143267328 8906698640 10179084160 11633239040 14250717824 16286534656 17813397280 20358168320 23266478080 28501435648 32573069312 35626794560 40716336640 57002871296 71253589120 81432673280 114005742592 142507178240 162865346560 228011485184 285014356480 570028712960 1140057425920