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123034134440 = 23571929797473
BaseRepresentation
bin111001010010101100…
…1111110011110101000
3102202120110102121111002
41302211121332132220
54003433214300230
6132304320254132
711613620613260
oct1624531763650
9382513377432
10123034134440
11481a661a248
121ba17a71348
13b7a99906a9
145d522b67a0
15330153d545
hex1ca567e7a8

123034134440 has 128 divisors (see below), whose sum is σ = 344508768000. Its totient is φ = 38584885248.

The previous prime is 123034134437. The next prime is 123034134451. The reversal of 123034134440 is 44431430321.

It is a happy number.

It is a super-2 number, since 2×1230341344402 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (29).

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, 244457 + ... + 553016.

It is an arithmetic number, because the mean of its divisors is an integer number (2691474750).

Almost surely, 2123034134440 is an apocalyptic number.

123034134440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

123034134440 is an abundant number, since it is smaller than the sum of its proper divisors (221474633560).

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

123034134440 is a wasteful number, since it uses less digits than its factorization.

123034134440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 797539 (or 797535 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 29.

Adding to 123034134440 its reverse (44431430321), we get a palindrome (167465564761).

The spelling of 123034134440 in words is "one hundred twenty-three billion, thirty-four million, one hundred thirty-four thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 14 19 20 28 29 35 38 40 56 58 70 76 95 116 133 140 145 152 190 203 232 266 280 290 380 406 532 551 580 665 760 812 1015 1064 1102 1160 1330 1624 2030 2204 2660 2755 3857 4060 4408 5320 5510 7714 8120 11020 15428 19285 22040 30856 38570 77140 154280 797473 1594946 3189892 3987365 5582311 6379784 7974730 11164622 15151987 15949460 22329244 23126717 27911555 30303974 31898920 44658488 46253434 55823110 60607948 75759935 92506868 106063909 111646220 115633585 121215896 151519870 161887019 185013736 212127818 223292440 231267170 303039740 323774038 424255636 439407623 462534340 530319545 606079480 647548076 809435095 848511272 878815246 925068680 1060639090 1295096152 1618870190 1757630492 2121278180 2197038115 3075853361 3237740380 3515260984 4242556360 4394076230 6151706722 6475480760 8788152460 12303413444 15379266805 17576304920 24606826888 30758533610 61517067220 123034134440