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1255415315440 = 2451113313539971
BaseRepresentation
bin10010010001001100100…
…101010111101111110000
311110000110001101210211211
4102101030211113233300
5131032042310043230
62400421351045504
7156462235053316
oct22211445275760
94400401353754
101255415315440
11444467242850
12183384070894
139150125a9a0
1444a9614a0b6
15229c9bc342a
hex1244c957bf0

1255415315440 has 160 divisors (see below), whose sum is σ = 3539745441792. Its totient is φ = 407804544000.

The previous prime is 1255415315411. The next prime is 1255415315449. The reversal of 1255415315440 is 445135145521.

It is a super-2 number, since 2×12554153154402 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1255415315393 and 1255415315402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1255415315449) 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, 1415346 + ... + 2124625.

Almost surely, 21255415315440 is an apocalyptic number.

1255415315440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1255415315440 is an abundant number, since it is smaller than the sum of its proper divisors (2284330126352).

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

1255415315440 is a wasteful number, since it uses less digits than its factorization.

1255415315440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3540039 (or 3540033 counting only the distinct ones).

The product of its (nonzero) digits is 240000, while the sum is 40.

The spelling of 1255415315440 in words is "one trillion, two hundred fifty-five billion, four hundred fifteen million, three hundred fifteen thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 13 16 20 22 26 31 40 44 52 55 62 65 80 88 104 110 124 130 143 155 176 208 220 248 260 286 310 341 403 440 496 520 572 620 682 715 806 880 1040 1144 1240 1364 1430 1612 1705 2015 2288 2480 2728 2860 3224 3410 4030 4433 5456 5720 6448 6820 8060 8866 11440 13640 16120 17732 22165 27280 32240 35464 44330 70928 88660 177320 354640 3539971 7079942 14159884 17699855 28319768 35399710 38939681 46019623 56639536 70799420 77879362 92039246 109739101 141598840 155758724 184078492 194698405 219478202 230098115 283197680 311517448 368156984 389396810 438956404 460196230 506215853 548695505 623034896 736313968 778793620 877912808 920392460 1012431706 1097391010 1207130111 1426608313 1557587240 1755825616 1840784920 2024863412 2194782020 2414260222 2531079265 2853216626 3115174480 3681569840 4049726824 4389564040 4828520444 5062158530 5706433252 6035650555 7133041565 8099453648 8779128080 9657040888 10124317060 11412866504 12071301110 14266083130 15692691443 19314081776 20248634120 22825733008 24142602220 28532166260 31385382886 40497268240 48285204440 57064332520 62770765772 78463457215 96570408880 114128665040 125541531544 156926914430 251083063088 313853828860 627707657720 1255415315440