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1314060611504 = 2419311011380571
BaseRepresentation
bin10011000111110100000…
…111011010111110110000
311122121211010212112011012
4103013310013122332300
5133012144004032004
62443400543210052
7163636434622004
oct23076407327660
94577733775135
101314060611504
11467320a59783
121928102a6928
1396bb91386c4
144785ab1c704
15242ad52c46e
hex131f41dafb0

1314060611504 has 80 divisors (see below), whose sum is σ = 2793835944960. Its totient is φ = 596406240000.

The previous prime is 1314060611483. The next prime is 1314060611581. The reversal of 1314060611504 is 4051160604131.

It is a super-3 number, since 3×13140606115043 (a number of 37 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261539 + ... + 1642109.

It is an arithmetic number, because the mean of its divisors is an integer number (34922949312).

Almost surely, 21314060611504 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 1314060611504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1396917972480).

1314060611504 is an abundant number, since it is smaller than the sum of its proper divisors (1479775333456).

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

1314060611504 is a wasteful number, since it uses less digits than its factorization.

1314060611504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1380730 (or 1380724 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

The spelling of 1314060611504 in words is "one trillion, three hundred fourteen billion, sixty million, six hundred eleven thousand, five hundred four".

Divisors: 1 2 4 8 16 19 31 38 62 76 101 124 152 202 248 304 404 496 589 808 1178 1616 1919 2356 3131 3838 4712 6262 7676 9424 12524 15352 25048 30704 50096 59489 118978 237956 475912 951824 1380571 2761142 5522284 11044568 22089136 26230849 42797701 52461698 85595402 104923396 139437671 171190804 209846792 278875342 342381608 419693584 557750684 684763216 813156319 1115501368 1626312638 2231002736 2649315749 3252625276 4322567801 5298631498 6505250552 8645135602 10597262996 13010501104 17290271204 21194525992 34580542408 42389051984 69161084816 82128788219 164257576438 328515152876 657030305752 1314060611504