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1354354341504 = 27337670314221
BaseRepresentation
bin10011101101010101110…
…011110011011010000000
311210110211021122002110120
4103231111303303122000
5134142204202412004
62514103133500240
7166564106646333
oct23552563633200
94713737562416
101354354341504
1148241879948a
1219a596641680
139a93b001ba8
14497a030a61a
152536abd53d9
hex13b55cf3680

1354354341504 has 128 divisors (see below), whose sum is σ = 3695544602880. Its totient is φ = 439153643520.

The previous prime is 1354354341421. The next prime is 1354354341547. The reversal of 1354354341504 is 4051434534531.

It is a tau number, because it is divible by the number of its divisors (128).

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, 95229114 + ... + 95243334.

It is an arithmetic number, because the mean of its divisors is an integer number (28871442210).

Almost surely, 21354354341504 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1354354341504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1847772301440).

1354354341504 is an abundant number, since it is smaller than the sum of its proper divisors (2341190261376).

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

1354354341504 is a wasteful number, since it uses less digits than its factorization.

1354354341504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20978 (or 20966 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 42.

The spelling of 1354354341504 in words is "one trillion, three hundred fifty-four billion, three hundred fifty-four million, three hundred forty-one thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 48 64 74 96 111 128 148 192 222 296 384 444 592 888 1184 1776 2368 3552 4736 6703 7104 13406 14208 14221 20109 26812 28442 40218 42663 53624 56884 80436 85326 107248 113768 160872 170652 214496 227536 248011 321744 341304 428992 455072 496022 526177 643488 682608 744033 857984 910144 992044 1052354 1286976 1365216 1488066 1578531 1820288 1984088 2104708 2573952 2730432 2976132 3157062 3968176 4209416 5460864 5952264 6314124 7936352 8418832 11904528 12628248 15872704 16837664 23809056 25256496 31745408 33675328 47618112 50512992 67350656 95236224 95323363 101025984 190646726 202051968 285970089 381293452 571940178 762586904 1143880356 1525173808 2287760712 3050347616 3526964431 4575521424 6100695232 7053928862 9151042848 10580893293 12201390464 14107857724 18302085696 21161786586 28215715448 36604171392 42323573172 56431430896 84647146344 112862861792 169294292688 225725723584 338588585376 451451447168 677177170752 1354354341504