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1126146686440 = 235291138591293
BaseRepresentation
bin10000011000110011100…
…100101011110111101000
310222122210002200001121211
4100120303210223313220
5121422322022431230
62221202235442504
7144234651616036
oct20306344536750
93878702601554
101126146686440
113a466149a566
121623082b6434
138226ca5a579
143c711c63556
151e46117c42a
hex1063392bde8

1126146686440 has 64 divisors (see below), whose sum is σ = 2644400293200. Its totient is φ = 431076667392.

The previous prime is 1126146686437. The next prime is 1126146686479. The reversal of 1126146686440 is 446866416211.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 71758622884 + 1054388063556 = 267878^2 + 1026834^2 .

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, 4164567 + ... + 4426726.

Almost surely, 21126146686440 is an apocalyptic number.

1126146686440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1126146686440 is an abundant number, since it is smaller than the sum of its proper divisors (1518253606760).

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

1126146686440 is a wasteful number, since it uses less digits than its factorization.

1126146686440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8591446 (or 8591442 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 49.

The spelling of 1126146686440 in words is "one trillion, one hundred twenty-six billion, one hundred forty-six million, six hundred eighty-six thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 113 116 145 226 232 290 452 565 580 904 1130 1160 2260 3277 4520 6554 13108 16385 26216 32770 65540 131080 8591293 17182586 34365172 42956465 68730344 85912930 171825860 249147497 343651720 498294994 970816109 996589988 1245737485 1941632218 1993179976 2491474970 3883264436 4854080545 4982949940 7766528872 9708161090 9965899880 19416322180 28153667161 38832644360 56307334322 112614668644 140768335805 225229337288 281536671610 563073343220 1126146686440