Search a number
-
+
40195874207151 = 321310912724817921
BaseRepresentation
bin10010010001110110101001…
…10011011011010110101111
312021022200120120210201000100
421020323110303123112233
520232032122244112101
6221253421340202143
711316025143245115
oct1110732463332657
9167280516721010
1040195874207151
1111897a7a0a4013
124612290b39353
1319575babc06a0
149cd6c265dab5
1549a8c0d6de86
hex248ed4cdb5af

40195874207151 has 48 divisors (see below), whose sum is σ = 63597414200320. Its totient is φ = 24316002385920.

The previous prime is 40195874207143. The next prime is 40195874207171. The reversal of 40195874207151 is 15170247859104.

40195874207151 is a `hidden beast` number, since 4 + 0 + 1 + 9 + 587 + 4 + 2 + 0 + 7 + 1 + 51 = 666.

It is not a de Polignac number, because 40195874207151 - 23 = 40195874207143 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (40195874207141) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10789330 + ... + 14028591.

Almost surely, 240195874207151 is an apocalyptic number.

40195874207151 is a deficient number, since it is larger than the sum of its proper divisors (23401539993169).

40195874207151 is a wasteful number, since it uses less digits than its factorization.

40195874207151 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24818176 (or 24818173 counting only the distinct ones).

The product of its (nonzero) digits is 2822400, while the sum is 54.

The spelling of 40195874207151 in words is "forty trillion, one hundred ninety-five billion, eight hundred seventy-four million, two hundred seven thousand, one hundred fifty-one".

Divisors: 1 3 9 13 39 109 117 127 327 381 981 1143 1417 1651 4251 4953 12753 13843 14859 41529 124587 179959 539877 1619631 24817921 74453763 223361289 322632973 967898919 2705153389 2903696757 3151875967 8115460167 9455627901 24346380501 28366883703 35166994057 40974387571 105500982171 122923162713 316502946513 343554480403 368769488139 1030663441209 3091990323627 4466208245239 13398624735717 40195874207151