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125145314022040 = 235131745730977483
BaseRepresentation
bin11100011101000110101001…
…111111001101001010011000
3121102002202221002212022220221
4130131012221333031022120
5112400340100342201130
61122054544045125424
735234310354563254
oct3435065177151230
9542082832768827
10125145314022040
1136969914263264
1212052000559874
1354aa1c9caba60
1422c90cbac9264
15e704b437d87a
hex71d1a9fcd298

125145314022040 has 128 divisors (see below), whose sum is σ = 321776756400960. Its totient is φ = 43394248065024.

The previous prime is 125145314022007. The next prime is 125145314022059. The reversal of 125145314022040 is 40220413541521.

It is a super-2 number, since 2×1251453140220402 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a junction number, because it is equal to n+sod(n) for n = 125145314021987 and 125145314022005.

It is a congruent number.

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, 11448862 + ... + 19528621.

Almost surely, 2125145314022040 is an apocalyptic number.

125145314022040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

125145314022040 is an abundant number, since it is smaller than the sum of its proper divisors (196631442378920).

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

125145314022040 is a wasteful number, since it uses less digits than its factorization.

125145314022040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30977981 (or 30977977 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

Adding to 125145314022040 its reverse (40220413541521), we get a palindrome (165365727563561).

The spelling of 125145314022040 in words is "one hundred twenty-five trillion, one hundred forty-five billion, three hundred fourteen million, twenty-two thousand, forty".

Divisors: 1 2 4 5 8 10 13 17 20 26 34 40 52 65 68 85 104 130 136 170 221 260 340 442 457 520 680 884 914 1105 1768 1828 2210 2285 3656 4420 4570 5941 7769 8840 9140 11882 15538 18280 23764 29705 31076 38845 47528 59410 62152 77690 100997 118820 155380 201994 237640 310760 403988 504985 807976 1009970 2019940 4039880 30977483 61954966 123909932 154887415 247819864 309774830 402707279 526617211 619549660 805414558 1053234422 1239099320 1610829116 2013536395 2106468844 2633086055 3221658232 4027072790 4212937688 5266172110 6846023743 8054145580 10532344220 13692047486 14156709731 16108291160 21064688440 27384094972 28313419462 34230118715 54768189944 56626838924 68460237430 70783548655 113253677848 136920474860 141567097310 184037226503 240664065427 273840949720 283134194620 368074453006 481328130854 566268389240 736148906012 920186132515 962656261708 1203320327135 1472297812024 1840372265030 1925312523416 2406640654270 3128632850551 3680744530060 4813281308540 6257265701102 7361489060120 9626562617080 12514531402204 15643164252755 25029062804408 31286328505510 62572657011020 125145314022040