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1377114011380 = 225216173185257
BaseRepresentation
bin10100000010100010011…
…001000011011011110100
311212122120102222010002201
4110002202121003123310
5140030312141331010
62532345404314244
7201331111650112
oct24024231033364
94778512863081
101377114011380
11491037a5a308
121a2a88842984
139cb27355b83
144a91cd18ab2
1525c4dd7123a
hex140a26436f4

1377114011380 has 24 divisors (see below), whose sum is σ = 2892074112648. Its totient is φ = 550819949568.

The previous prime is 1377114011369. The next prime is 1377114011381. The reversal of 1377114011380 is 831104117731.

It can be written as a sum of positive squares in 4 ways, for example, as 329737795984 + 1047376215396 = 574228^2 + 1023414^2 .

It is a super-2 number, since 2×13771140113802 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1377114011381) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1160289 + ... + 2024968.

It is an arithmetic number, because the mean of its divisors is an integer number (120503088027).

Almost surely, 21377114011380 is an apocalyptic number.

1377114011380 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1377114011380 is an abundant number, since it is smaller than the sum of its proper divisors (1514960101268).

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

1377114011380 is a wasteful number, since it uses less digits than its factorization.

1377114011380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3206883 (or 3206881 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 37.

The spelling of 1377114011380 in words is "one trillion, three hundred seventy-seven billion, one hundred fourteen million, eleven thousand, three hundred eighty".

Divisors: 1 2 4 5 10 20 21617 43234 86468 108085 216170 432340 3185257 6370514 12741028 15926285 31852570 63705140 68855700569 137711401138 275422802276 344278502845 688557005690 1377114011380