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243734145144 = 23373343433981
BaseRepresentation
bin1110001011111110101…
…1111110100001111000
3212022010020210110010220
43202333223332201320
512443131420121034
6303545300340040
723415650023230
oct3427753764170
9768106713126
10243734145144
1194404630806
123b2a20a4620
1319ca3bbbc79
14bb2259acc0
156517bb9749
hex38bfafe878

243734145144 has 64 divisors (see below), whose sum is σ = 696593187840. Its totient is φ = 69617335680.

The previous prime is 243734145131. The next prime is 243734145163. The reversal of 243734145144 is 441541437342.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 243734145096 and 243734145105.

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, 344634 + ... + 778614.

It is an arithmetic number, because the mean of its divisors is an integer number (10884268560).

Almost surely, 2243734145144 is an apocalyptic number.

243734145144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

243734145144 is an abundant number, since it is smaller than the sum of its proper divisors (452859042696).

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

243734145144 is a wasteful number, since it uses less digits than its factorization.

243734145144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437340 (or 437336 counting only the distinct ones).

The product of its digits is 645120, while the sum is 42.

The spelling of 243734145144 in words is "two hundred forty-three billion, seven hundred thirty-four million, one hundred forty-five thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 3343 6686 10029 13372 20058 23401 26744 40116 46802 70203 80232 93604 140406 187208 280812 433981 561624 867962 1301943 1735924 2603886 3037867 3471848 5207772 6075734 9113601 10415544 12151468 18227202 24302936 36454404 72908808 1450798483 2901596966 4352395449 5803193932 8704790898 10155589381 11606387864 17409581796 20311178762 30466768143 34819163592 40622357524 60933536286 81244715048 121867072572 243734145144