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3414554351320 = 235722375744329
BaseRepresentation
bin110001101100000011010…
…011001001011011011000
3110002102120011102022001211
4301230003103021123120
5421421001403220240
611132342525552504
7501456561050200
oct61540323113330
913072504368054
103414554351320
1110a7116a066a2
1247191b415734
131b9cb6582038
14bb3a0035400
155dc48c72bea
hex31b034c96d8

3414554351320 has 96 divisors (see below), whose sum is σ = 9325641909600. Its totient is φ = 1119804145152.

The previous prime is 3414554351311. The next prime is 3414554351353. The reversal of 3414554351320 is 231534554143.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 37827085 + ... + 37917244.

It is an arithmetic number, because the mean of its divisors is an integer number (97142103225).

Almost surely, 23414554351320 is an apocalyptic number.

It is an amenable number.

3414554351320 is an abundant number, since it is smaller than the sum of its proper divisors (5911087558280).

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

3414554351320 is a wasteful number, since it uses less digits than its factorization.

3414554351320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75744377 (or 75744366 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 40.

The spelling of 3414554351320 in words is "three trillion, four hundred fourteen billion, five hundred fifty-four million, three hundred fifty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 49 56 70 92 98 115 140 161 184 196 230 245 280 322 392 460 490 644 805 920 980 1127 1288 1610 1960 2254 3220 4508 5635 6440 9016 11270 22540 45080 75744329 151488658 302977316 378721645 530210303 605954632 757443290 1060420606 1514886580 1742119567 2120841212 2651051515 3029773160 3484239134 3711472121 4241682424 5302103030 6968478268 7422944242 8710597835 10604206060 12194836969 13936956536 14845888484 17421195670 18557360605 21208412120 24389673938 29691776968 34842391340 37114721210 48779347876 60974184845 69684782680 74229442420 85363858783 97558695752 121948369690 148458884840 170727717566 243896739380 341455435132 426819293915 487793478760 682910870264 853638587830 1707277175660 3414554351320