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1146142610040 = 233567142555051
BaseRepresentation
bin10000101011011011011…
…011000101001001111000
311001120101122112020002210
4100223123123011021320
5122234300002010130
62234310341455120
7145543324304301
oct20533333051170
94046348466083
101146142610040
1140209269495a
12166168a114a0
138410863891c
143d68b7a77a8
151ec318905b0
hex10adb6c5278

1146142610040 has 64 divisors (see below), whose sum is σ = 3489747672960. Its totient is φ = 301076265600.

The previous prime is 1146142610033. The next prime is 1146142610051. The reversal of 1146142610040 is 400162416411.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 71269486 + ... + 71285565.

It is an arithmetic number, because the mean of its divisors is an integer number (54527307390).

Almost surely, 21146142610040 is an apocalyptic number.

1146142610040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1146142610040 is an abundant number, since it is smaller than the sum of its proper divisors (2343605062920).

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

1146142610040 is a wasteful number, since it uses less digits than its factorization.

1146142610040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 142555132 (or 142555128 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 30.

The spelling of 1146142610040 in words is "one trillion, one hundred forty-six billion, one hundred forty-two million, six hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 67 120 134 201 268 335 402 536 670 804 1005 1340 1608 2010 2680 4020 8040 142555051 285110102 427665153 570220204 712775255 855330306 1140440408 1425550510 1710660612 2138325765 2851101020 3421321224 4276651530 5702202040 8553303060 9551188417 17106606120 19102376834 28653565251 38204753668 47755942085 57307130502 76409507336 95511884170 114614261004 143267826255 191023768340 229228522008 286535652510 382047536680 573071305020 1146142610040