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1364438357112 = 2333143307138923
BaseRepresentation
bin10011110110101110110…
…111010001010001111000
311211102212001111011100010
4103312232313101101320
5134323332204411422
62522451521141520
7200402024450625
oct23665667212170
94742761434303
101364438357112
11486722977686
121a052b78a8a0
139b88722742c
144a07969d34c
152575b13bb0c
hex13daedd1478

1364438357112 has 128 divisors (see below), whose sum is σ = 3614780252160. Its totient is φ = 428502130560.

The previous prime is 1364438357039. The next prime is 1364438357119. The reversal of 1364438357112 is 2117538344631.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364438357119) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9752083 + ... + 9891005.

It is an arithmetic number, because the mean of its divisors is an integer number (28240470720).

Almost surely, 21364438357112 is an apocalyptic number.

1364438357112 is a gapful number since it is divisible by the number (12) 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 1364438357112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1807390126080).

1364438357112 is an abundant number, since it is smaller than the sum of its proper divisors (2250341895048).

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

1364438357112 is a wasteful number, since it uses less digits than its factorization.

1364438357112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139313 (or 139309 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 48.

The spelling of 1364438357112 in words is "one trillion, three hundred sixty-four billion, four hundred thirty-eight million, three hundred fifty-seven thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 24 31 43 62 86 93 124 129 172 186 248 258 307 344 372 516 614 744 921 1032 1228 1333 1842 2456 2666 3684 3999 5332 7368 7998 9517 10664 13201 15996 19034 26402 28551 31992 38068 39603 52804 57102 76136 79206 105608 114204 138923 158412 228408 277846 316824 409231 416769 555692 818462 833538 1111384 1227693 1636924 1667076 2455386 3273848 3334152 4306613 4910772 5973689 8613226 9821544 11947378 12919839 17226452 17921067 23894756 25839678 34452904 35842134 42649361 47789512 51679356 71684268 85298722 103358712 127948083 143368536 170597444 185184359 255896166 341194888 370368718 511792332 555553077 740737436 1023584664 1111106154 1322130191 1481474872 1833922523 2222212308 2644260382 3667845046 3966390573 4444424616 5288520764 5501767569 7335690092 7932781146 10577041528 11003535138 14671380184 15865562292 22007070276 31731124584 44014140552 56851598213 113703196426 170554794639 227406392852 341109589278 454812785704 682219178556 1364438357112