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34130433403550 = 25211217913736319
BaseRepresentation
bin1111100001010100111000…
…10110111110101010011110
311110211211121120211212221102
413300222130112332222132
513433143111422403200
6200331145445433102
710121561646134021
oct760523426765236
9143754546755842
1034130433403550
11a9696a9972300
1239b285910b792
131607641b47cc3
1485dcc95731b8
153e2c26ba86d5
hex1f0a9c5bea9e

34130433403550 has 144 divisors (see below), whose sum is σ = 73893134286720. Its totient is φ = 11679403929600.

The previous prime is 34130433403537. The next prime is 34130433403597. The reversal of 34130433403550 is 5530433403143.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 939722291 + ... + 939758609.

It is an arithmetic number, because the mean of its divisors is an integer number (513146765880).

Almost surely, 234130433403550 is an apocalyptic number.

34130433403550 is an abundant number, since it is smaller than the sum of its proper divisors (39762700883170).

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

34130433403550 is a wasteful number, since it uses less digits than its factorization.

34130433403550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 45507 (or 45491 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 38.

Adding to 34130433403550 its reverse (5530433403143), we get a palindrome (39660866806693).

The spelling of 34130433403550 in words is "thirty-four trillion, one hundred thirty billion, four hundred thirty-three million, four hundred three thousand, five hundred fifty".

Divisors: 1 2 5 10 11 17 22 25 34 50 55 85 110 121 170 187 242 275 374 425 550 605 850 935 1210 1870 2057 3025 4114 4675 6050 9137 9350 10285 18274 20570 36319 45685 51425 72638 91370 100507 102850 155329 181595 201014 228425 310658 363190 399509 456850 502535 617423 776645 799018 907975 1005070 1105577 1234846 1553290 1708619 1815950 1997545 2211154 2512675 3087115 3417238 3883225 3995090 4394599 5025350 5527885 6174230 6791653 7766450 8543095 8789198 9987725 11055770 13583306 15435575 17086190 18794809 19975450 21972995 27639425 30871150 33958265 37589618 42715475 43945990 55278850 67916530 74708183 85430950 93974045 109864975 149416366 169791325 187948090 219729950 331846703 339582650 373540915 469870225 663693406 747081830 939740450 1659233515 1867704575 3318467030 3650313733 3735409150 5641393951 7300627466 8296167575 11282787902 16592335150 18251568665 28206969755 36503137330 40153451063 56413939510 62055333461 80306902126 91257843325 124110666922 141034848775 182515686650 200767255315 282069697550 310276667305 401534510630 620553334610 682608668071 1003836276575 1365217336142 1551383336525 2007672553150 3102766673050 3413043340355 6826086680710 17065216701775 34130433403550