Search a number
-
+
1138301146437 = 371311173732857
BaseRepresentation
bin10000100100001000000…
…010010001010101000101
311000211011011102121020220
4100210020002101111011
5122122220043141222
62230532304014553
7145145110046340
oct20441002212505
94024134377226
101138301146437
113a982935a224
1216473a901459
1383458bc3030
143d1461ab457
151e92325db5c
hex10908091545

1138301146437 has 32 divisors (see below), whose sum is σ = 1869654189312. Its totient is φ = 599884890624.

The previous prime is 1138301146427. The next prime is 1138301146447. The reversal of 1138301146437 is 7346411038311.

It is an interprime number because it is at equal distance from previous prime (1138301146427) and next prime (1138301146447).

It is not a de Polignac number, because 1138301146437 - 27 = 1138301146309 is a prime.

It is a super-5 number, since 5×11383011464375 (a number of 61 digits) contains 55555 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1138301146427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1561488 + ... + 2171369.

It is an arithmetic number, because the mean of its divisors is an integer number (58426693416).

Almost surely, 21138301146437 is an apocalyptic number.

It is an amenable number.

1138301146437 is a deficient number, since it is larger than the sum of its proper divisors (731353042875).

1138301146437 is a wasteful number, since it uses less digits than its factorization.

1138301146437 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3733997.

The product of its (nonzero) digits is 145152, while the sum is 42.

The spelling of 1138301146437 in words is "one trillion, one hundred thirty-eight billion, three hundred one million, one hundred forty-six thousand, four hundred thirty-seven".

Divisors: 1 3 7 13 21 39 91 273 1117 3351 7819 14521 23457 43563 101647 304941 3732857 11198571 26129999 48527141 78389997 145581423 339689987 1019069961 4169601269 12508803807 29187208883 54204816497 87561626649 162614449491 379433715479 1138301146437