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1146293373940 = 2251113400801879
BaseRepresentation
bin10000101011100100011…
…010001100101111110100
311001120210011012211021221
4100223210122030233310
5122240102100431230
62234333325120124
7145550134625221
oct20534432145764
94046704184257
101146293373940
1140215a7a9020
121661ab3b9044
1384130944430
143d6a3810948
151ec3ec2127a
hex10ae468cbf4

1146293373940 has 48 divisors (see below), whose sum is σ = 2828058065280. Its totient is φ = 384769802880.

The previous prime is 1146293373937. The next prime is 1146293373943. The reversal of 1146293373940 is 493733926411.

It is an interprime number because it is at equal distance from previous prime (1146293373937) and next prime (1146293373943).

It is a super-2 number, since 2×11462933739402 (a number of 25 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1146293373943) 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, 200398080 + ... + 200403799.

It is an arithmetic number, because the mean of its divisors is an integer number (58917876360).

Almost surely, 21146293373940 is an apocalyptic number.

1146293373940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146293373940 is an abundant number, since it is smaller than the sum of its proper divisors (1681764691340).

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

1146293373940 is a wasteful number, since it uses less digits than its factorization.

1146293373940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400801912 (or 400801910 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 52.

The spelling of 1146293373940 in words is "one trillion, one hundred forty-six billion, two hundred ninety-three million, three hundred seventy-three thousand, nine hundred forty".

Divisors: 1 2 4 5 10 11 13 20 22 26 44 52 55 65 110 130 143 220 260 286 572 715 1430 2860 400801879 801603758 1603207516 2004009395 4008018790 4408820669 5210424427 8016037580 8817641338 10420848854 17635282676 20841697708 22044103345 26052122135 44088206690 52104244270 57314668697 88176413380 104208488540 114629337394 229258674788 286573343485 573146686970 1146293373940