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34453655534144 = 2671135141198953
BaseRepresentation
bin1111101010101110111011…
…11001100011101001000000
311111222201220111022101011102
413311113131321203221000
514003442041304043034
6201135442453433532
710154123462665130
oct765273571435100
9144881814271142
1034453655534144
11aa83793386a70
123a4542363b8a8
13162bc72a6b192
148717cc8a6ac0
153eb342e0397e
hex1f55dde63a40

34453655534144 has 112 divisors (see below), whose sum is σ = 85242092777856. Its totient is φ = 13423052697600.

The previous prime is 34453655534047. The next prime is 34453655534173. The reversal of 34453655534144 is 44143555635443.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (56).

It is a self number, because there is not a number n which added to its sum of digits gives 34453655534144.

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, 173075372 + ... + 173274324.

It is an arithmetic number, because the mean of its divisors is an integer number (761090114088).

Almost surely, 234453655534144 is an apocalyptic number.

It is an amenable number.

34453655534144 is an abundant number, since it is smaller than the sum of its proper divisors (50788437243712).

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

34453655534144 is a wasteful number, since it uses less digits than its factorization.

34453655534144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234124 (or 234114 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 56.

The spelling of 34453655534144 in words is "thirty-four trillion, four hundred fifty-three billion, six hundred fifty-five million, five hundred thirty-four thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 77 88 112 154 176 224 308 352 448 616 704 1232 2464 4928 35141 70282 140564 198953 245987 281128 386551 397906 491974 562256 773102 795812 983948 1124512 1392671 1546204 1591624 1967896 2188483 2249024 2705857 2785342 3092408 3183248 3935792 4376966 5411714 5570684 6184816 6366496 7871584 8753932 10823428 11141368 12369632 12732992 15319381 15743168 17507864 21646856 22282736 24739264 30638762 35015728 43293712 44565472 61277524 70031456 86587424 89130944 122555048 140062912 173174848 245110096 490220192 980440384 6991407373 13982814746 27965629492 48939851611 55931258984 76905481103 97879703222 111862517968 153810962206 195759406444 223725035936 307621924412 391518812888 447450071872 538338367721 615243848824 783037625776 1076676735442 1230487697648 1566075251552 2153353470884 2460975395296 3132150503104 4306706941768 4921950790592 8613413883536 17226827767072 34453655534144