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34151423488 = 297131743117
BaseRepresentation
bin11111110011100101…
…010101111000000000
310021011001221001210121
4133303211111320000
51024420231022423
623404451310024
72316206211220
oct376345257000
9107131831717
1034151423488
1113535651a36
1267512ab314
1332b34935c0
14191d938080
15d4d31045d
hex7f3955e00

34151423488 has 160 divisors (see below), whose sum is σ = 88925183424. Its totient is φ = 12715425792.

The previous prime is 34151423447. The next prime is 34151423521. The reversal of 34151423488 is 88432415143.

It is a super-2 number, since 2×341514234882 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 770506 + ... + 813622.

Almost surely, 234151423488 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 34151423488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44462591712).

34151423488 is an abundant number, since it is smaller than the sum of its proper divisors (54773759936).

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

34151423488 is a wasteful number, since it uses less digits than its factorization.

34151423488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43172 (or 43156 counting only the distinct ones).

The product of its digits is 368640, while the sum is 43.

The spelling of 34151423488 in words is "thirty-four billion, one hundred fifty-one million, four hundred twenty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 7 8 13 14 16 17 26 28 32 34 52 56 64 68 91 104 112 119 128 136 182 208 221 224 238 256 272 364 416 442 448 476 512 544 728 832 884 896 952 1088 1456 1547 1664 1768 1792 1904 2176 2912 3094 3328 3536 3584 3808 4352 5824 6188 6656 7072 7616 8704 11648 12376 14144 15232 23296 24752 28288 30464 43117 46592 49504 56576 60928 86234 99008 113152 172468 198016 301819 344936 396032 560521 603638 689872 732989 792064 1121042 1207276 1379744 1465978 2242084 2414552 2759488 2931956 3923647 4484168 4829104 5130923 5518976 5863912 7847294 8968336 9528857 9658208 10261846 11037952 11727824 15694588 17936672 19057714 19316416 20523692 22075904 23455648 31389176 35873344 38115428 38632832 41047384 46911296 62778352 66701999 71746688 76230856 77265664 82094768 93822592 125556704 133403998 143493376 152461712 154531328 164189536 187645184 251113408 266807996 286986752 304923424 328379072 375290368 502226816 533615992 609846848 656758144 1004453632 1067231984 1219693696 1313516288 2008907264 2134463968 2439387392 2627032576 4268927936 4878774784 8537855872 17075711744 34151423488