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1040242011534 = 23211113131354911
BaseRepresentation
bin11110010001100110100…
…00010110110110001110
310200110001020212102101200
433020303100112312032
5114020403423332114
62113514112250330
7135104111130555
oct17106320266616
93613036772350
101040242011534
11371189550870
12149732b409a6
137712c52469b
14384c2c10d9c
151c0d4605409
hexf233416d8e

1040242011534 has 96 divisors (see below), whose sum is σ = 2499454983168. Its totient is φ = 310049376000.

The previous prime is 1040242011533. The next prime is 1040242011563. The reversal of 1040242011534 is 4351102420401.

1040242011534 is a `hidden beast` number, since 1 + 0 + 402 + 4 + 201 + 1 + 53 + 4 = 666.

1040242011534 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 1040242011498 and 1040242011507.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1040242011533) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2753539 + ... + 3108449.

It is an arithmetic number, because the mean of its divisors is an integer number (26035989408).

Almost surely, 21040242011534 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1040242011534, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1249727491584).

1040242011534 is an abundant number, since it is smaller than the sum of its proper divisors (1459212971634).

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

1040242011534 is a wasteful number, since it uses less digits than its factorization.

1040242011534 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 355174 (or 355171 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

Adding to 1040242011534 its reverse (4351102420401), we get a palindrome (5391344431935).

The spelling of 1040242011534 in words is "one trillion, forty billion, two hundred forty-two million, eleven thousand, five hundred thirty-four".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 113 131 198 226 262 339 393 678 786 1017 1179 1243 1441 2034 2358 2486 2882 3729 4323 7458 8646 11187 12969 14803 22374 25938 29606 44409 88818 133227 162833 266454 325666 354911 488499 709822 976998 1064733 1465497 2129466 2930994 3194199 3904021 6388398 7808042 11712063 23424126 35136189 40104943 46493341 70272378 80209886 92986682 120314829 139480023 240629658 278960046 360944487 418440069 441154373 511426751 721888974 836880138 882308746 1022853502 1323463119 1534280253 2646926238 3068560506 3970389357 4602840759 5253747533 7940778714 9205681518 10507495066 15761242599 31522485198 47283727797 57791222863 94567455594 115582445726 173373668589 346747337178 520121005767 1040242011534