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30400042234410 = 23251496199365699
BaseRepresentation
bin1101110100110000011111…
…01101111111001000101010
310222122012211012201212012100
412322120033231333020222
512441033241303000120
6144353330412354230
76255221246312502
oct672301755771052
9128565735655170
1030400042234410
11976064934a822
1234ab894775976
1313c6933747164
14771526dc4a02
1537ab95266490
hex1ba60fb7f22a

30400042234410 has 96 divisors (see below), whose sum is σ = 79583634000000. Its totient is φ = 8050949716608.

The previous prime is 30400042234391. The next prime is 30400042234411. The reversal of 30400042234410 is 1443224000403.

It is a happy number.

30400042234410 is a `hidden beast` number, since 30 + 400 + 0 + 4 + 223 + 4 + 4 + 1 + 0 = 666.

It is not an unprimeable number, because it can be changed into a prime (30400042234411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 82945741 + ... + 83311439.

It is an arithmetic number, because the mean of its divisors is an integer number (828996187500).

Almost surely, 230400042234410 is an apocalyptic number.

30400042234410 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 30400042234410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39791817000000).

30400042234410 is an abundant number, since it is smaller than the sum of its proper divisors (49183591765590).

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

30400042234410 is a wasteful number, since it uses less digits than its factorization.

30400042234410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 372060 (or 372057 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 27.

Adding to 30400042234410 its reverse (1443224000403), we get a palindrome (31843266234813).

The spelling of 30400042234410 in words is "thirty trillion, four hundred billion, forty-two million, two hundred thirty-four thousand, four hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 149 298 447 745 894 1341 1490 2235 2682 4470 6199 6705 12398 13410 18597 30995 37194 55791 61990 92985 111582 185970 278955 365699 557910 731398 923651 1097097 1828495 1847302 2194194 2770953 3291291 3656990 4618255 5485485 5541906 6582582 8312859 9236510 10970970 13854765 16456455 16625718 27709530 32912910 41564295 54489151 83128590 108978302 163467453 272445755 326934906 490402359 544891510 817337265 980804718 1634674530 2266968101 2452011795 4533936202 4904023590 6800904303 11334840505 13601808606 20402712909 22669681010 34004521515 40805425818 68009043030 102013564545 204027129090 337778247049 675556494098 1013334741147 1688891235245 2026669482294 3040004223441 3377782470490 5066673705735 6080008446882 10133347411470 15200021117205 30400042234410