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31242430400 = 2652159712227
BaseRepresentation
bin11101000110001100…
…011010011111000000
32222122100010220110212
4131012030122133000
51002441030233100
622204053413252
72154134163626
oct350614323700
988570126425
1031242430400
11122825a0415
12607b03a228
132c3b8c440c
141725461516
15c2cc46635
hex74631a7c0

31242430400 has 84 divisors (see below), whose sum is σ = 76930334328. Its totient is φ = 12488125440.

The previous prime is 31242430399. The next prime is 31242430469. The reversal of 31242430400 is 403424213.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2549087 + ... + 2561313.

Almost surely, 231242430400 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31242430400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38465167164).

31242430400 is an abundant number, since it is smaller than the sum of its proper divisors (45687903928).

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

31242430400 is a wasteful number, since it uses less digits than its factorization.

31242430400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13846 (or 13831 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

Adding to 31242430400 its reverse (403424213), we get a palindrome (31645854613).

The spelling of 31242430400 in words is "thirty-one billion, two hundred forty-two million, four hundred thirty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1597 1600 3194 6388 7985 12227 12776 15970 24454 25552 31940 39925 48908 51104 61135 63880 79850 97816 102208 122270 127760 159700 195632 244540 255520 305675 319400 391264 489080 511040 611350 638800 782528 978160 1222700 1277600 1956320 2445400 2555200 3912640 4890800 9781600 19526519 19563200 39053038 78106076 97632595 156212152 195265190 312424304 390530380 488162975 624848608 781060760 976325950 1249697216 1562121520 1952651900 3124243040 3905303800 6248486080 7810607600 15621215200 31242430400