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1314226456060 = 2257113148156093
BaseRepresentation
bin10011000111111110000…
…000000100010111111100
311122122020200221022010011
4103013332000010113330
5133013013433043220
62443425225553004
7163643520362560
oct23077600042774
94578220838104
101314226456060
114673a66331a1
12192857945764
1396c145c448b
1447874b6d6a0
15242bcd8b65a
hex131fe0045fc

1314226456060 has 96 divisors (see below), whose sum is σ = 3184261621632. Its totient is φ = 446294876160.

The previous prime is 1314226456057. The next prime is 1314226456093. The reversal of 1314226456060 is 606546224131.

It is a super-2 number, since 2×13142264560602 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23401374 + ... + 23457466.

It is an arithmetic number, because the mean of its divisors is an integer number (33169391892).

Almost surely, 21314226456060 is an apocalyptic number.

1314226456060 is a gapful number since it is divisible by the number (10) 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 1314226456060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1592130810816).

1314226456060 is an abundant number, since it is smaller than the sum of its proper divisors (1870035165572).

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

1314226456060 is a wasteful number, since it uses less digits than its factorization.

1314226456060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57703 (or 57701 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 1314226456060 in words is "one trillion, three hundred fourteen billion, two hundred twenty-six million, four hundred fifty-six thousand, sixty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 113 140 226 452 565 791 1130 1481 1582 2260 2962 3164 3955 5924 7405 7910 10367 14810 15820 20734 29620 41468 51835 56093 103670 112186 167353 207340 224372 280465 334706 392651 560930 669412 785302 836765 1121860 1171471 1570604 1673530 1963255 2342942 3347060 3926510 4685884 5857355 6338509 7853020 11714710 12677018 23429420 25354036 31692545 44369563 63385090 83073733 88739126 126770180 166147466 177478252 221847815 332294932 415368665 443695630 581516131 830737330 887391260 1163032262 1661474660 2326064524 2907580655 5815161310 9387331829 11630322620 18774663658 37549327316 46936659145 65711322803 93873318290 131422645606 187746636580 262845291212 328556614015 657113228030 1314226456060