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137441662117312 = 2671607322959123
BaseRepresentation
bin11111010000000010100001…
…011100101010010111000000
3200000122021221202011110221211
4133100002201130222113000
5121003321011000223222
61204151454455255504
740643555341056610
oct3720024134522700
9600567852143854
10137441662117312
113a87a755194283
12134b914667a594
135b8c901a45a67
1425d22d77c8a40
1510d528e047277
hex7d00a172a5c0

137441662117312 has 112 divisors (see below), whose sum is σ = 311993885698560. Its totient is φ = 58847689055232.

The previous prime is 137441662117307. The next prime is 137441662117321. The reversal of 137441662117312 is 213711266144731.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

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, 2324643783 + ... + 2324702905.

Almost surely, 2137441662117312 is an apocalyptic number.

It is an amenable number.

137441662117312 is an abundant number, since it is smaller than the sum of its proper divisors (174552223581248).

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

137441662117312 is a wasteful number, since it uses less digits than its factorization.

137441662117312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63978 (or 63968 counting only the distinct ones).

The product of its digits is 1016064, while the sum is 49.

The spelling of 137441662117312 in words is "one hundred thirty-seven trillion, four hundred forty-one billion, six hundred sixty-two million, one hundred seventeen thousand, three hundred twelve".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 224 448 1607 3214 3229 6428 6458 11249 12856 12916 22498 22603 25712 25832 44996 45206 51424 51664 59123 89992 90412 102848 103328 118246 179984 180824 206656 236492 359968 361648 413861 472984 719936 723296 827722 945968 1446592 1655444 1891936 3310888 3783872 5189003 6621776 10378006 13243552 20756012 26487104 36323021 41512024 72646042 83024048 95010661 145292084 166048096 190021322 190908167 290584168 332096192 380042644 381816334 581168336 665074627 760085288 763632668 1162336672 1330149254 1336357169 1520170576 1527265336 2324673344 2660298508 2672714338 3040341152 3054530672 5320597016 5345428676 6080682304 6109061344 10641194032 10690857352 12218122688 21282388064 21381714704 42564776128 42763429408 85526858816 306789424369 613578848738 1227157697476 2147525970583 2454315394952 4295051941166 4908630789904 8590103882332 9817261579808 17180207764664 19634523159616 34360415529328 68720831058656 137441662117312