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30042506640 = 2435192346751
BaseRepresentation
bin11011111110101011…
…000100010110010000
32212112201021110112010
4123332223010112100
5443011340203030
621445031102520
72112324043626
oct337653042620
985481243463
1030042506640
1111817236993
1259a5211a40
132aaa128863
14164dd51516
15bac7236b0
hex6feac4590

30042506640 has 120 divisors (see below), whose sum is σ = 98291708928. Its totient is φ = 7589664000.

The previous prime is 30042506629. The next prime is 30042506653. The reversal of 30042506640 is 4660524003.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 30042506598 and 30042506607.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 86736 + ... + 260015.

Almost surely, 230042506640 is an apocalyptic number.

30042506640 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30042506640 is an abundant number, since it is smaller than the sum of its proper divisors (68249202288).

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

30042506640 is a wasteful number, since it uses less digits than its factorization.

30042506640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 346805 (or 346780 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The spelling of 30042506640 in words is "thirty billion, forty-two million, five hundred six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 361 380 456 570 722 760 912 1083 1140 1444 1520 1805 2166 2280 2888 3610 4332 4560 5415 5776 7220 8664 10830 14440 17328 21660 28880 43320 86640 346751 693502 1040253 1387004 1733755 2080506 2774008 3467510 4161012 5201265 5548016 6588269 6935020 8322024 10402530 13176538 13870040 16644048 19764807 20805060 26353076 27740080 32941345 39529614 41610120 52706152 65882690 79059228 83220240 98824035 105412304 125177111 131765380 158118456 197648070 250354222 263530760 316236912 375531333 395296140 500708444 527061520 625885555 751062666 790592280 1001416888 1251771110 1502125332 1581184560 1877656665 2002833776 2503542220 3004250664 3755313330 5007084440 6008501328 7510626660 10014168880 15021253320 30042506640