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34240252525312 = 281571481575231
BaseRepresentation
bin1111100100100001011100…
…00101101011101100000000
311111020100002001220022000111
413302100232011223230000
513441443014121302222
6200453431014401104
710132530243230461
oct762205605535400
9144210061808014
1034240252525312
11aa012339aa969
123a0bba7360194
131614ac3a24362
14865346710d68
153e5a02e72777
hex1f242e16bb00

34240252525312 has 72 divisors (see below), whose sum is σ = 68828646362112. Its totient is φ = 16999565107200.

The previous prime is 34240252525277. The next prime is 34240252525357. The reversal of 34240252525312 is 21352525204243.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 59236737 + ... + 59811967.

It is an arithmetic number, because the mean of its divisors is an integer number (955953421696).

Almost surely, 234240252525312 is an apocalyptic number.

34240252525312 is a gapful number since it is divisible by the number (32) 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 34240252525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34414323181056).

34240252525312 is an abundant number, since it is smaller than the sum of its proper divisors (34588393836800).

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

34240252525312 is a wasteful number, since it uses less digits than its factorization.

34240252525312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 576885 (or 576871 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 40.

Adding to 34240252525312 its reverse (21352525204243), we get a palindrome (55592777729555).

The spelling of 34240252525312 in words is "thirty-four trillion, two hundred forty billion, two hundred fifty-two million, five hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 628 1256 1481 2512 2962 5024 5924 10048 11848 20096 23696 40192 47392 94784 189568 232517 379136 465034 575231 930068 1150462 1860136 2300924 3720272 4601848 7440544 9203696 14881088 18407392 29762176 36814784 59524352 73629568 90311267 147259136 180622534 361245068 722490136 851917111 1444980272 1703834222 2889960544 3407668444 5779921088 6815336888 11559842176 13630673776 23119684352 27261347552 54522695104 109045390208 133750986427 218090780416 267501972854 535003945708 1070007891416 2140015782832 4280031565664 8560063131328 17120126262656 34240252525312