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1045376278254 = 2327112619110771
BaseRepresentation
bin11110011011001010100…
…10000001111011101110
310200221022001220012021100
433031211102001323232
5114111412311401004
62120123401343530
7135345253516320
oct17154522017356
93627261805240
101045376278254
11373383724400
1214a726497ba6
137776a133b29
143884ca63610
151c2d522e739
hexf365481eee

1045376278254 has 144 divisors (see below), whose sum is σ = 2849888845440. Its totient is φ = 271085205600.

The previous prime is 1045376278253. The next prime is 1045376278283. The reversal of 1045376278254 is 4528726735401.

1045376278254 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 3 + 7 + 627 + 8 + 2 + 5 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 1045376278254.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045376278253) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 9381889 + ... + 9492659.

It is an arithmetic number, because the mean of its divisors is an integer number (19790894760).

Almost surely, 21045376278254 is an apocalyptic number.

1045376278254 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1045376278254, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1424944422720).

1045376278254 is an abundant number, since it is smaller than the sum of its proper divisors (1804512567186).

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

1045376278254 is a wasteful number, since it uses less digits than its factorization.

1045376278254 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111427 (or 111413 counting only the distinct ones).

The product of its (nonzero) digits is 11289600, while the sum is 54.

The spelling of 1045376278254 in words is "one trillion, forty-five billion, three hundred seventy-six million, two hundred seventy-eight thousand, two hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 121 126 154 198 231 242 363 462 619 693 726 847 1089 1238 1386 1694 1857 2178 2541 3714 4333 5082 5571 6809 7623 8666 11142 12999 13618 15246 20427 25998 38997 40854 47663 61281 74899 77994 95326 110771 122562 142989 149798 221542 224697 285978 332313 428967 449394 524293 664626 674091 775397 857934 996939 1048586 1218481 1348182 1550794 1572879 1993878 2326191 2436962 3145758 3655443 4652382 4718637 6978573 7310886 8529367 9437274 10966329 13403291 13957146 17058734 21932658 25588101 26806582 40209873 51176202 68567249 76764303 80419746 93823037 120629619 137134498 153528606 187646074 205701747 241259238 281469111 411403494 479970743 562938222 617105241 754239739 844407333 959941486 1234210482 1439912229 1508479478 1688814666 2262719217 2879824458 4319736687 4525438434 5279678173 6788157651 8296637129 8639473374 10559356346 13576315302 15839034519 16593274258 24889911387 31678069038 47517103557 49779822774 58076459903 74669734161 95034207114 116152919806 149339468322 174229379709 348458759418 522688139127 1045376278254