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1131368340964 = 2219223212172
BaseRepresentation
bin10000011101101010110…
…011101101110111100100
311000011021000010121000211
4100131222303231313210
5122014020243402324
62223424325545204
7144511235140441
oct20355263556744
94004230117024
101131368340964
113a68a0a2a924
12163324b75204
13828c27b5984
143ca895429c8
151e6697b9294
hex1076acedde4

1131368340964 has 81 divisors (see below), whose sum is σ = 2186181961257. Its totient is φ = 512189618688.

The previous prime is 1131368340953. The next prime is 1131368341007. The reversal of 1131368340964 is 4690438631311.

The square root of 1131368340964 is 1063658.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 379665468900 + 751702872064 = 616170^2 + 867008^2 .

It is a Duffinian number.

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 929636484 + ... + 929637700.

Almost surely, 21131368340964 is an apocalyptic number.

1131368340964 is the 1063658-th square number.

It is an amenable number.

1131368340964 is a deficient number, since it is larger than the sum of its proper divisors (1054813620293).

1131368340964 is an equidigital number, since it uses as much as digits as its factorization.

1131368340964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2522 (or 1261 counting only the distinct ones).

The product of its (nonzero) digits is 1119744, while the sum is 49.

Multiplying 1131368340964 by its sum of digits (49), we get a square (55437048707236 = 74456062).

The spelling of 1131368340964 in words is "one trillion, one hundred thirty-one billion, three hundred sixty-eight million, three hundred forty thousand, nine hundred sixty-four".

Divisors: 1 2 4 19 23 38 46 76 92 361 437 529 722 874 1058 1217 1444 1748 2116 2434 4868 8303 10051 16606 20102 23123 27991 33212 40204 46246 55982 92492 111964 190969 381938 439337 531829 643793 763876 878674 1063658 1287586 1481089 1757348 2127316 2575172 2962178 5924356 10104751 12232067 20209502 24464134 28140691 34065047 40419004 48928268 56281382 68130094 112562764 136260188 232409273 464818546 534673129 647235893 783496081 929637092 1069346258 1294471786 1566992162 2138692516 2588943572 3133984324 12297481967 14886425539 24594963934 29772851078 49189927868 59545702156 282842085241 565684170482 1131368340964