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145416462504 = 233291971060567
BaseRepresentation
bin1000011101101101111…
…1110010000010101000
3111220100022201200110120
42013123133302002220
54340303103300004
6150445311243240
713335361352115
oct2073337620250
9456308650416
10145416462504
1156741890635
1224223819520
1310935aa73b1
147076b3b90c
153bb14de3d9
hex21db7f20a8

145416462504 has 64 divisors (see below), whose sum is σ = 377986435200. Its totient is φ = 46563089664.

The previous prime is 145416462497. The next prime is 145416462511. The reversal of 145416462504 is 405264614541.

It is a happy number.

145416462504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (145416462497) and next prime (145416462511).

It is a super-2 number, since 2×1454164625042 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 393172 + ... + 667395.

It is an arithmetic number, because the mean of its divisors is an integer number (5906038050).

Almost surely, 2145416462504 is an apocalyptic number.

It is an amenable number.

145416462504 is an abundant number, since it is smaller than the sum of its proper divisors (232569972696).

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

145416462504 is a wasteful number, since it uses less digits than its factorization.

145416462504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1060802 (or 1060798 counting only the distinct ones).

The product of its (nonzero) digits is 460800, while the sum is 42.

The spelling of 145416462504 in words is "one hundred forty-five billion, four hundred sixteen million, four hundred sixty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 8 12 24 29 58 87 116 174 197 232 348 394 591 696 788 1182 1576 2364 4728 5713 11426 17139 22852 34278 45704 68556 137112 1060567 2121134 3181701 4242268 6363402 8484536 12726804 25453608 30756443 61512886 92269329 123025772 184538658 208931699 246051544 369077316 417863398 626795097 738154632 835726796 1253590194 1671453592 2507180388 5014360776 6059019271 12118038542 18177057813 24236077084 36354115626 48472154168 72708231252 145416462504