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314445125004 = 2233717918121859
BaseRepresentation
bin1001001001101100110…
…00111101010110001100
31010001122012222102000220
410210312120331112030
520122440423000004
6400242030151340
731501146314403
oct4446630752614
91101565872026
10314445125004
111113a009153a
1250b37052550
132386271b55a
141130d7a863a
1582a591add9
hex493663d58c

314445125004 has 96 divisors (see below), whose sum is σ = 761966150400. Its totient is φ = 100847566080.

The previous prime is 314445124993. The next prime is 314445125009. The reversal of 314445125004 is 400521544413.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (314445125009) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 14374227 + ... + 14396085.

It is an arithmetic number, because the mean of its divisors is an integer number (7937147400).

Almost surely, 2314445125004 is an apocalyptic number.

It is an amenable number.

314445125004 is an abundant number, since it is smaller than the sum of its proper divisors (447521025396).

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

314445125004 is a wasteful number, since it uses less digits than its factorization.

314445125004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22263 (or 22261 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 33.

Adding to 314445125004 its reverse (400521544413), we get a palindrome (714966669417).

The spelling of 314445125004 in words is "three hundred fourteen billion, four hundred forty-five million, one hundred twenty-five thousand, four".

Divisors: 1 2 3 4 6 12 37 74 111 148 179 181 222 358 362 444 537 543 716 724 1074 1086 2148 2172 6623 6697 13246 13394 19869 20091 21859 26492 26788 32399 39738 40182 43718 64798 65577 79476 80364 87436 97197 129596 131154 194394 262308 388788 808783 1198763 1617566 2397526 2426349 3235132 3596289 3912761 3956479 4795052 4852698 7192578 7825522 7912958 9705396 11738283 11869437 14385156 15651044 15825916 23476566 23738874 46953132 47477748 144772157 146389723 289544314 292779446 434316471 439169169 579088628 585558892 708209741 868632942 878338338 1416419482 1737265884 1756676676 2124629223 2832838964 4249258446 8498516892 26203760417 52407520834 78611281251 104815041668 157222562502 314445125004