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34115305551432 = 23371713985936223
BaseRepresentation
bin1111100000111000101101…
…01010110011011001001000
311110210101120022010101010020
413300130112222303121020
513432421121210121212
6200320204403220440
710120515034410630
oct760342652633110
9143711508111106
1034115305551432
11a963246666086
1239ab936977720
1316060a0986011
1485d29238b6c0
153e263da3bd8c
hex1f0716ab3648

34115305551432 has 128 divisors (see below), whose sum is σ = 103948456550400. Its totient is φ = 9107864552448.

The previous prime is 34115305551391. The next prime is 34115305551529. The reversal of 34115305551432 is 23415550351143.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42571128 + ... + 43365095.

It is an arithmetic number, because the mean of its divisors is an integer number (812097316800).

Almost surely, 234115305551432 is an apocalyptic number.

It is an amenable number.

34115305551432 is an abundant number, since it is smaller than the sum of its proper divisors (69833150998968).

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

34115305551432 is a wasteful number, since it uses less digits than its factorization.

34115305551432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85936395 (or 85936391 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 42.

The spelling of 34115305551432 in words is "thirty-four trillion, one hundred fifteen billion, three hundred five million, five hundred fifty-one thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 21 24 28 34 42 51 56 68 84 102 119 136 139 168 204 238 278 357 408 417 476 556 714 834 952 973 1112 1428 1668 1946 2363 2856 2919 3336 3892 4726 5838 7089 7784 9452 11676 14178 16541 18904 23352 28356 33082 49623 56712 66164 99246 132328 198492 396984 85936223 171872446 257808669 343744892 515617338 601553561 687489784 1031234676 1203107122 1460915791 1804660683 2062469352 2406214244 2921831582 3609321366 4382747373 4812428488 5843663164 7218642732 8765494746 10226410537 11687326328 11945134997 14437285464 17530989492 20452821074 23890269994 30679231611 35061978984 35835404991 40905642148 47780539988 61358463222 71670809982 81811284296 83615944979 95561079976 122716926444 143341619964 167231889958 203067294949 245433852888 250847834937 286683239928 334463779916 406134589898 501695669874 609201884847 668927559832 812269179796 1003391339748 1218403769694 1421471064643 1624538359592 2006782679496 2436807539388 2842942129286 4264413193929 4873615078776 5685884258572 8528826387858 11371768517144 17057652775716 34115305551432