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1940434100976 = 243712134761007
BaseRepresentation
bin11100001111001010111…
…000101010001011110000
320212111121012002122210210
4130033022320222023300
5223243002112212401
64043231221024120
7260122523500620
oct34171270521360
96774535078723
101940434100976
11688a2a510268
1227409b555040
13110c9ca28287
1469cbb91a880
153571d9274d6
hex1c3cae2a2f0

1940434100976 has 80 divisors (see below), whose sum is σ = 5733624802304. Its totient is φ = 553952570112.

The previous prime is 1940434100971. The next prime is 1940434101029. The reversal of 1940434100976 is 6790014340491.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1940434100971) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1972936 + ... + 2788071.

Almost surely, 21940434100976 is an apocalyptic number.

1940434100976 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1940434100976 is an abundant number, since it is smaller than the sum of its proper divisors (3793190701328).

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

1940434100976 is a wasteful number, since it uses less digits than its factorization.

1940434100976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4762238 (or 4762232 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 1940434100976 in words is "one trillion, nine hundred forty billion, four hundred thirty-four million, one hundred thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 1213 2426 3639 4852 7278 8491 9704 14556 16982 19408 25473 29112 33964 50946 58224 67928 101892 135856 203784 407568 4761007 9522014 14283021 19044028 28566042 33327049 38088056 57132084 66654098 76176112 99981147 114264168 133308196 199962294 228528336 266616392 399924588 533232784 799849176 1599698352 5775101491 11550202982 17325304473 23100405964 34650608946 40425710437 46200811928 69301217892 80851420874 92401623856 121277131311 138602435784 161702841748 242554262622 277204871568 323405683496 485108525244 646811366992 970217050488 1940434100976