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3404522142120 = 23351117151716673
BaseRepresentation
bin110001100010101101010…
…101010011100110101000
3110001110200000001021020010
4301202231111103212220
5421234430132021440
611124003232531520
7500653142505651
oct61425525234650
913043600037203
103404522142120
1110a2938aa2410
1246b99b6b0ba0
131b9077cc8188
14baacb8ca528
155d85d151580
hex318ad5539a8

3404522142120 has 128 divisors (see below), whose sum is σ = 11797488570240. Its totient is φ = 776789360640.

The previous prime is 3404522142101. The next prime is 3404522142143. The reversal of 3404522142120 is 212412254043.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 75835897 + ... + 75880776.

It is an arithmetic number, because the mean of its divisors is an integer number (92167879455).

Almost surely, 23404522142120 is an apocalyptic number.

3404522142120 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3404522142120 is an abundant number, since it is smaller than the sum of its proper divisors (8392966428120).

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

3404522142120 is a wasteful number, since it uses less digits than its factorization.

3404522142120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151716715 (or 151716711 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 3404522142120 its reverse (212412254043), we get a palindrome (3616934396163).

The spelling of 3404522142120 in words is "three trillion, four hundred four billion, five hundred twenty-two million, one hundred forty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 17 20 22 24 30 33 34 40 44 51 55 60 66 68 85 88 102 110 120 132 136 165 170 187 204 220 255 264 330 340 374 408 440 510 561 660 680 748 935 1020 1122 1320 1496 1870 2040 2244 2805 3740 4488 5610 7480 11220 22440 151716673 303433346 455150019 606866692 758583365 910300038 1213733384 1517166730 1668883403 1820600076 2275750095 2579183441 3034333460 3337766806 3641200152 4551500190 5006650209 5158366882 6068666920 6675533612 7737550323 8344417015 9103000380 10013300418 10316733764 12895917205 13351067224 15475100646 16688834030 18206000760 20026600836 20633467528 25033251045 25791834410 28371017851 30950201292 33377668060 38687751615 40053201672 50066502090 51583668820 56742035702 61900402584 66755336120 77375503230 85113053553 100133004180 103167337640 113484071404 141855089255 154751006460 170226107106 200266008360 226968142808 283710178510 309502012920 340452214212 425565267765 567420357020 680904428424 851130535530 1134840714040 1702261071060 3404522142120