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146450435940 = 223351791515109
BaseRepresentation
bin1000100001100100100…
…0000100111101100100
3112000000101022222101000
42020121020010331210
54344412302422230
6151140045033300
713403115110664
oct2103110047544
9460011288330
10146450435940
11571224a9136
1224471b55830
1310a6c07acb3
1471341b01a4
153c22181b60
hex2219204f64

146450435940 has 96 divisors (see below), whose sum is σ = 458169264000. Its totient is φ = 38835248256.

The previous prime is 146450435933. The next prime is 146450436007. The reversal of 146450435940 is 49534054641.

146450435940 is a `hidden beast` number, since 1 + 4 + 6 + 4 + 50 + 4 + 3 + 594 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 660895 + ... + 854214.

It is an arithmetic number, because the mean of its divisors is an integer number (4772596500).

Almost surely, 2146450435940 is an apocalyptic number.

146450435940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146450435940 is an abundant number, since it is smaller than the sum of its proper divisors (311718828060).

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

146450435940 is a wasteful number, since it uses less digits than its factorization.

146450435940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1515306 (or 1515298 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 146450435940 in words is "one hundred forty-six billion, four hundred fifty million, four hundred thirty-five thousand, nine hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 179 180 270 358 537 540 716 895 1074 1611 1790 2148 2685 3222 3580 4833 5370 6444 8055 9666 10740 16110 19332 24165 32220 48330 96660 1515109 3030218 4545327 6060436 7575545 9090654 13635981 15151090 18181308 22726635 27271962 30302180 40907943 45453270 54543924 68179905 81815886 90906540 136359810 163631772 204539715 271204511 272719620 409079430 542409022 813613533 818158860 1084818044 1356022555 1627227066 2440840599 2712045110 3254454132 4068067665 4881681198 5424090220 7322521797 8136135330 9763362396 12204202995 14645043594 16272270660 24408405990 29290087188 36612608985 48816811980 73225217970 146450435940