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30406968240 = 24351111517791
BaseRepresentation
bin11100010100011001…
…011000001110110000
32220111010002000211220
4130110121120032300
5444233140440430
621545130505040
72124340652115
oct342431301660
986433060756
1030406968240
1111993a39320
125a87295180
132b377a62cc
14168650490c
15bce717110
hex7146583b0

30406968240 has 80 divisors (see below), whose sum is σ = 102830846976. Its totient is φ = 7371385600.

The previous prime is 30406968223. The next prime is 30406968341. The reversal of 30406968240 is 4286960403.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 30406968192 and 30406968201.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5756256 + ... + 5761535.

Almost surely, 230406968240 is an apocalyptic number.

30406968240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

30406968240 is an abundant number, since it is smaller than the sum of its proper divisors (72423878736).

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

30406968240 is a wasteful number, since it uses less digits than its factorization.

30406968240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11517818 (or 11517812 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The spelling of 30406968240 in words is "thirty billion, four hundred six million, nine hundred sixty-eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 880 1320 2640 11517791 23035582 34553373 46071164 57588955 69106746 92142328 115177910 126695701 138213492 172766865 184284656 230355820 253391402 276426984 345533730 380087103 460711640 506782804 552853968 633478505 691067460 760174206 921423280 1013565608 1266957010 1382134920 1520348412 1900435515 2027131216 2533914020 2764269840 3040696824 3800871030 5067828040 6081393648 7601742060 10135656080 15203484120 30406968240