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146406858640140 = 223571312660975257
BaseRepresentation
bin100001010010100000000000…
…110011010100101100001100
3201012101100200201002111000010
4201102200000303110230030
5123142212221302441030
61235214214330433220
742560355304134540
oct4122400063245414
9635340621074003
10146406858640140
114271688897992a
1214506768892810
13639015231c477
1428221b611da20
1511dd5a20626b0
hex852800cd4b0c

146406858640140 has 96 divisors (see below), whose sum is σ = 472078298571264. Its totient is φ = 33208971194880.

The previous prime is 146406858640109. The next prime is 146406858640157. The reversal of 146406858640140 is 41046858604641.

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, 1330432609 + ... + 1330542648.

It is an arithmetic number, because the mean of its divisors is an integer number (4917482276784).

Almost surely, 2146406858640140 is an apocalyptic number.

146406858640140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146406858640140 is an abundant number, since it is smaller than the sum of its proper divisors (325671439931124).

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

146406858640140 is a wasteful number, since it uses less digits than its factorization.

146406858640140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2660975407 (or 2660975405 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 57.

The spelling of 146406858640140 in words is "one hundred forty-six trillion, four hundred six billion, eight hundred fifty-eight million, six hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 131 140 210 262 393 420 524 655 786 917 1310 1572 1834 1965 2620 2751 3668 3930 4585 5502 7860 9170 11004 13755 18340 27510 55020 2660975257 5321950514 7982925771 10643901028 13304876285 15965851542 18626826799 26609752570 31931703084 37253653598 39914628855 53219505140 55880480397 74507307196 79829257710 93134133995 111760960794 159658515420 186268267990 223521921588 279402401985 348587758667 372536535980 558804803970 697175517334 1045763276001 1117609607940 1394351034668 1742938793335 2091526552002 2440114310669 3485877586670 4183053104004 4880228621338 5228816380005 6971755173340 7320342932007 9760457242676 10457632760010 12200571553345 14640685864014 20915265520020 24401143106690 29281371728028 36601714660035 48802286213380 73203429320070 146406858640140