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34207543431424 = 281166891816051
BaseRepresentation
bin1111100011100100100000…
…11110011001000100000000
311111010012122111222011110201
413301302100132121010000
513440424022104301144
6200430421205134544
710130261546431636
oct761622036310400
9144105574864421
1034207543431424
11a999379529570
123a057990ba454
1316119b031052c
14863922587356
153e4c3b5b91d4
hex1f1c90799100

34207543431424 has 72 divisors (see below), whose sum is σ = 74500046480160. Its totient is φ = 15546550272000.

The previous prime is 34207543431331. The next prime is 34207543431461. The reversal of 34207543431424 is 42413434570243.

It is a happy number.

It is a super-2 number, since 2×342075434314242 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 17928199 + ... + 19744249.

It is an arithmetic number, because the mean of its divisors is an integer number (1034722867780).

Almost surely, 234207543431424 is an apocalyptic number.

It is an amenable number.

34207543431424 is an abundant number, since it is smaller than the sum of its proper divisors (40292503048736).

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

34207543431424 is a wasteful number, since it uses less digits than its factorization.

34207543431424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1822767 (or 1822753 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 46.

The spelling of 34207543431424 in words is "thirty-four trillion, two hundred seven billion, five hundred forty-three million, four hundred thirty-one thousand, four hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 6689 13378 26756 53512 73579 107024 147158 214048 294316 428096 588632 856192 1177264 1712384 1816051 2354528 3632102 4709056 7264204 9418112 14528408 18836224 19976561 29056816 39953122 58113632 79906244 116227264 159812488 232454528 319624976 464909056 639249952 1278499904 2556999808 5113999616 12147565139 24295130278 48590260556 97180521112 133623216529 194361042224 267246433058 388722084448 534492866116 777444168896 1068985732232 1554888337792 2137971464464 3109776675584 4275942928928 8551885857856 17103771715712 34207543431424