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13134440004 = 223741923993
BaseRepresentation
bin11000011101101111…
…11010011001000100
31020220100202200110220
430032313322121010
5203344404040004
610011152344340
7643324620000
oct141667723104
936810680426
1013134440004
11563005a1a4
1226668450b0
1313141b33ba
148c8563700
1551d15add9
hex30edfa644

13134440004 has 120 divisors (see below), whose sum is σ = 37636028640. Its totient is φ = 3555038592.

The previous prime is 13134439979. The next prime is 13134440009. The reversal of 13134440004 is 40004443131.

It is not an unprimeable number, because it can be changed into a prime (13134440009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 535432 + ... + 559424.

It is an arithmetic number, because the mean of its divisors is an integer number (313633572).

Almost surely, 213134440004 is an apocalyptic number.

13134440004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13134440004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18818014320).

13134440004 is an abundant number, since it is smaller than the sum of its proper divisors (24501588636).

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

13134440004 is a wasteful number, since it uses less digits than its factorization.

13134440004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24047 (or 24024 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 13134440004 its reverse (40004443131), we get a palindrome (53138883135).

The spelling of 13134440004 in words is "thirteen billion, one hundred thirty-four million, four hundred forty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 19 21 28 38 42 49 57 76 84 98 114 133 147 196 228 266 294 343 399 532 588 686 798 931 1029 1372 1596 1862 2058 2401 2793 3724 4116 4802 5586 6517 7203 9604 11172 13034 14406 19551 23993 26068 28812 39102 45619 47986 71979 78204 91238 95972 136857 143958 167951 182476 273714 287916 335902 455867 503853 547428 671804 911734 1007706 1175657 1367601 1823468 2015412 2351314 2735202 3191069 3526971 4702628 5470404 6382138 7053942 8229599 9573207 12764276 14107884 16459198 19146414 22337483 24688797 32918396 38292828 44674966 49377594 57607193 67012449 89349932 98755188 115214386 134024898 156362381 172821579 230428772 268049796 312724762 345643158 469087143 625449524 691286316 938174286 1094536667 1876348572 2189073334 3283610001 4378146668 6567220002 13134440004