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34931639883440 = 2451069074084349
BaseRepresentation
bin1111111000101001001111…
…11111001001011010110000
311120200102200001012011012102
413330110213333021122300
514034304444302232230
6202143212425115532
710233504412633106
oct774244777113260
9146612601164172
1034931639883440
1110148475059213
123b01b9b628ba8
131665068a473b1
1488a9b3c33c76
154089bad66045
hex1fc527fc96b0

34931639883440 has 40 divisors (see below), whose sum is σ = 81216842302800. Its totient is φ = 13972521833216.

The previous prime is 34931639883409. The next prime is 34931639883443. The reversal of 34931639883440 is 4438893613943.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (34931639883443) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6510386 + ... + 10594734.

It is an arithmetic number, because the mean of its divisors is an integer number (2030421057570).

Almost surely, 234931639883440 is an apocalyptic number.

It is an amenable number.

34931639883440 is an abundant number, since it is smaller than the sum of its proper divisors (46285202419360).

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

34931639883440 is a wasteful number, since it uses less digits than its factorization.

34931639883440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4191269 (or 4191263 counting only the distinct ones).

The product of its (nonzero) digits is 161243136, while the sum is 65.

The spelling of 34931639883440 in words is "thirty-four trillion, nine hundred thirty-one billion, six hundred thirty-nine million, eight hundred eighty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 106907 213814 427628 534535 855256 1069070 1710512 2138140 4084349 4276280 8168698 8552560 16337396 20421745 32674792 40843490 65349584 81686980 163373960 326747920 436645498543 873290997086 1746581994172 2183227492715 3493163988344 4366454985430 6986327976688 8732909970860 17465819941720 34931639883440