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13400042304 = 2631119931883
BaseRepresentation
bin11000111101011010…
…00110101101000000
31021120212112200100010
430132231012231000
5204420402323204
610053401224520
7653031323505
oct143655065500
937525480303
1013400042304
115756a7a130
12271b792140
13135722961c
149119414ac
15536622d89
hex31eb46b40

13400042304 has 112 divisors (see below), whose sum is σ = 38872972800. Its totient is φ = 4040087040.

The previous prime is 13400042281. The next prime is 13400042309. The reversal of 13400042304 is 40324000431.

It is a super-2 number, since 2×134000423042 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13400042309) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 404347 + ... + 436229.

Almost surely, 213400042304 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 13400042304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19436486400).

13400042304 is an abundant number, since it is smaller than the sum of its proper divisors (25472930496).

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

13400042304 is a wasteful number, since it uses less digits than its factorization.

13400042304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32108 (or 32098 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 13400042304 its reverse (40324000431), we get a palindrome (53724042735).

The spelling of 13400042304 in words is "thirteen billion, four hundred million, forty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 199 264 352 398 528 597 704 796 1056 1194 1592 2112 2189 2388 3184 4378 4776 6368 6567 8756 9552 12736 13134 17512 19104 26268 31883 35024 38208 52536 63766 70048 95649 105072 127532 140096 191298 210144 255064 350713 382596 420288 510128 701426 765192 1020256 1052139 1402852 1530384 2040512 2104278 2805704 3060768 4208556 5611408 6121536 6344717 8417112 11222816 12689434 16834224 19034151 22445632 25378868 33668448 38068302 50757736 67336896 69791887 76136604 101515472 139583774 152273208 203030944 209375661 279167548 304546416 406061888 418751322 558335096 609092832 837502644 1116670192 1218185664 1675005288 2233340384 3350010576 4466680768 6700021152 13400042304