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146486495340 = 2232529101277847
BaseRepresentation
bin1000100001101101000…
…1101000100001101100
3112000002220011222120100
42020123101220201230
54400001020322330
6151143413551100
713404033444303
oct2103321504154
9460086158510
10146486495340
1157140898099
1224482045490
1310a76695013
147138cb943a
153c25406060
hex221b46886c

146486495340 has 144 divisors (see below), whose sum is σ = 464217324480. Its totient is φ = 37342502400.

The previous prime is 146486495333. The next prime is 146486495359. The reversal of 146486495340 is 43594684641.

146486495340 is a `hidden beast` number, since 1 + 4 + 6 + 48 + 64 + 9 + 534 + 0 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 388297 + ... + 666143.

It is an arithmetic number, because the mean of its divisors is an integer number (3223731420).

Almost surely, 2146486495340 is an apocalyptic number.

146486495340 is a gapful number since it is divisible by the number (10) 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 146486495340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232108662240).

146486495340 is an abundant number, since it is smaller than the sum of its proper divisors (317730829140).

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

146486495340 is a wasteful number, since it uses less digits than its factorization.

146486495340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277992 (or 277987 counting only the distinct ones).

The product of its (nonzero) digits is 9953280, while the sum is 54.

The spelling of 146486495340 in words is "one hundred forty-six billion, four hundred eighty-six million, four hundred ninety-five thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 45 58 60 87 90 101 116 145 174 180 202 261 290 303 348 404 435 505 522 580 606 870 909 1010 1044 1212 1305 1515 1740 1818 2020 2610 2929 3030 3636 4545 5220 5858 6060 8787 9090 11716 14645 17574 18180 26361 29290 35148 43935 52722 58580 87870 105444 131805 175740 263610 277847 527220 555694 833541 1111388 1389235 1667082 2500623 2778470 3334164 4167705 5001246 5556940 8057563 8335410 10002492 12503115 16115126 16670820 24172689 25006230 28062547 32230252 40287815 48345378 50012460 56125094 72518067 80575630 84187641 96690756 112250188 120863445 140312735 145036134 161151260 168375282 241726890 252562923 280625470 290072268 336750564 362590335 420938205 483453780 505125846 561250940 725180670 813813863 841876410 1010251692 1262814615 1450361340 1627627726 1683752820 2441441589 2525629230 3255255452 4069069315 4882883178 5051258460 7324324767 8138138630 9765766356 12207207945 14648649534 16276277260 24414415890 29297299068 36621623835 48828831780 73243247670 146486495340