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145317515076 = 22344115769677
BaseRepresentation
bin1000011101010110011…
…0010100111101000100
3111220002102112122010000
42013111212110331010
54340102240440301
6150431414401300
713333050332466
oct2072546247504
9456072478100
10145317515076
11566a0a489a8
12241b6660230
131091b441a16
147067942136
153ba7996786
hex21d5994f44

145317515076 has 120 divisors (see below), whose sum is σ = 391638577176. Its totient is φ = 46956049920.

The previous prime is 145317515051. The next prime is 145317515089. The reversal of 145317515076 is 670515713541.

145317515076 is a `hidden beast` number, since 1 + 4 + 53 + 17 + 515 + 0 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 16945790976 + 128371724100 = 130176^2 + 358290^2 .

It is a super-2 number, since 2×1453175150762 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2050750 + ... + 2120426.

Almost surely, 2145317515076 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145317515076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195819288588).

145317515076 is an abundant number, since it is smaller than the sum of its proper divisors (246321062100).

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

145317515076 is a wasteful number, since it uses less digits than its factorization.

145317515076 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69891 (or 69880 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 45.

The spelling of 145317515076 in words is "one hundred forty-five billion, three hundred seventeen million, five hundred fifteen thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 41 54 81 82 108 123 157 162 164 246 314 324 369 471 492 628 738 942 1107 1413 1476 1884 2214 2826 3321 4239 4428 5652 6437 6642 8478 12717 12874 13284 16956 19311 25434 25748 38622 50868 57933 69677 77244 115866 139354 173799 209031 231732 278708 347598 418062 521397 627093 695196 836124 1042794 1254186 1881279 2085588 2508372 2856757 3762558 5643837 5713514 7525116 8570271 10939289 11287674 11427028 17140542 21878578 22575348 25710813 32817867 34281084 43757156 51421626 65635734 77132439 98453601 102843252 131271468 154264878 196907202 231397317 295360803 308529756 393814404 448510849 462794634 590721606 886082409 897021698 925589268 1181443212 1345532547 1772164818 1794043396 2691065094 3544329636 4036597641 5382130188 8073195282 12109792923 16146390564 24219585846 36329378769 48439171692 72658757538 145317515076