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253040432304 = 2431117109258631
BaseRepresentation
bin1110101110101001100…
…0101001010010110000
3220012010211012211011010
43223222120221102300
513121211322313204
6312124542350520
724165402120612
oct3535230512260
9805124184133
10253040432304
119834a800020
124105a88b440
131ab27c5b96a
14c366540db2
1568aebe7d89
hex3aea6294b0

253040432304 has 160 divisors (see below), whose sum is σ = 761991943680. Its totient is φ = 71506022400.

The previous prime is 253040432303. The next prime is 253040432327. The reversal of 253040432304 is 403234040352.

It is not an unprimeable number, because it can be changed into a prime (253040432303) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 849069 + ... + 1107699.

It is an arithmetic number, because the mean of its divisors is an integer number (4762449648).

Almost surely, 2253040432304 is an apocalyptic number.

253040432304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 253040432304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380995971840).

253040432304 is an abundant number, since it is smaller than the sum of its proper divisors (508951511376).

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

253040432304 is a wasteful number, since it uses less digits than its factorization.

253040432304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258779 (or 258773 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 30.

Adding to 253040432304 its reverse (403234040352), we get a palindrome (656274472656).

The spelling of 253040432304 in words is "two hundred fifty-three billion, forty million, four hundred thirty-two thousand, three hundred four".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 109 132 136 176 187 204 218 264 272 327 374 408 436 528 561 654 748 816 872 1122 1199 1308 1496 1744 1853 2244 2398 2616 2992 3597 3706 4488 4796 5232 5559 7194 7412 8976 9592 11118 14388 14824 19184 20383 22236 28776 29648 40766 44472 57552 61149 81532 88944 122298 163064 244596 258631 326128 489192 517262 775893 978384 1034524 1551786 2069048 2844941 3103572 4138096 4396727 5689882 6207144 8534823 8793454 11379764 12414288 13190181 17069646 17586908 22759528 26380362 28190779 34139292 35173816 45519056 48363997 52760724 56381558 68278584 70347632 84572337 96727994 105521448 112763116 136557168 145091991 169144674 193455988 211042896 225526232 290183982 310098569 338289348 386911976 451052464 479243243 580367964 620197138 676578696 773823952 930295707 958486486 1160735928 1240394276 1353157392 1437729729 1860591414 1916972972 2321471856 2480788552 2875459458 3721182828 3833945944 4961577104 5271675673 5750918916 7442365656 7667891888 10543351346 11501837832 14884731312 15815027019 21086702692 23003675664 31630054038 42173405384 63260108076 84346810768 126520216152 253040432304