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140430300319992 = 233172371592090357
BaseRepresentation
bin11111111011100001111010…
…001010101001000011111000
3200102020000011002012122112210
4133323201322022221003320
5121401302223340214432
61214400442300135120
741402516516460324
oct3773417212510370
9612200132178483
10140430300319992
114082217957a511
12139003bb5374a0
13604869c6c4467
142696c11752984
151137dab0828cc
hex7fb87a2a90f8

140430300319992 has 128 divisors (see below), whose sum is σ = 387943688217600. Its totient is φ = 42135155386368.

The previous prime is 140430300319951. The next prime is 140430300319993. The reversal of 140430300319992 is 299913003034041.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (140430300319993) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66134878 + ... + 68225234.

It is an arithmetic number, because the mean of its divisors is an integer number (3030810064200).

Almost surely, 2140430300319992 is an apocalyptic number.

140430300319992 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140430300319992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193971844108800).

140430300319992 is an abundant number, since it is smaller than the sum of its proper divisors (247513387897608).

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

140430300319992 is a wasteful number, since it uses less digits than its factorization.

140430300319992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2097565 (or 2097561 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 48.

The spelling of 140430300319992 in words is "one hundred forty trillion, four hundred thirty billion, three hundred million, three hundred nineteen thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 12 17 23 24 34 46 51 68 69 92 102 136 138 184 204 276 391 408 552 782 1173 1564 2346 3128 4692 7159 9384 14318 21477 28636 42954 57272 85908 121703 164657 171816 243406 329314 365109 486812 493971 658628 730218 973624 987942 1317256 1460436 1975884 2090357 2799169 2920872 3951768 4180714 5598338 6271071 8361428 8397507 11196676 12542142 16722856 16795014 22393352 25084284 33590028 35536069 48078211 50168568 67180056 71072138 96156422 106608207 142144276 144234633 192312844 213216414 284288552 288469266 384625688 426432828 576938532 817329587 852865656 1153877064 1634659174 2451988761 3269318348 4903977522 6538636696 9807955044 14964865763 19615910088 29929731526 44894597289 59859463052 89789194578 119718926104 179578389156 254402717971 344191912549 359156778312 508805435942 688383825098 763208153913 1017610871884 1032575737647 1376767650196 1526416307826 2035221743768 2065151475294 2753535300392 3052832615652 4130302950588 5851262513333 6105665231304 8260605901176 11702525026666 17553787539999 23405050053332 35107575079998 46810100106664 70215150159996 140430300319992