Search a number
-
+
42115027596240 = 24351299171350703
BaseRepresentation
bin10011001001101101010110…
…10000100111001111010000
312112010011020200111012010210
421210312223100213033100
521010003034031034430
6225323213201524120
711604465434014164
oct1144665320471720
9175104220435123
1042115027596240
1112467979161485
124882211643640
131a66578aca441
14a58541b54ca4
154d079639a2b0
hex264dab4273d0

42115027596240 has 80 divisors (see below), whose sum is σ = 130557687130368. Its totient is φ = 11230579266048.

The previous prime is 42115027596221. The next prime is 42115027596247. The reversal of 42115027596240 is 4269572051124.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-3 number, since 3×421150275962403 (a number of 42 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 42115027596240.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42115027596247) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30504729 + ... + 31855431.

Almost surely, 242115027596240 is an apocalyptic number.

42115027596240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42115027596240 is an abundant number, since it is smaller than the sum of its proper divisors (88442659534128).

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

42115027596240 is a wasteful number, since it uses less digits than its factorization.

42115027596240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480636 (or 1480630 counting only the distinct ones).

The product of its (nonzero) digits is 1209600, while the sum is 48.

The spelling of 42115027596240 in words is "forty-two trillion, one hundred fifteen billion, twenty-seven million, five hundred ninety-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 129917 259834 389751 519668 649585 779502 1039336 1299170 1350703 1559004 1948755 2078672 2598340 2701406 3118008 3897510 4052109 5196680 5402812 6236016 6753515 7795020 8104218 10393360 10805624 13507030 15590040 16208436 20260545 21611248 27014060 31180080 32416872 40521090 54028120 64833744 81042180 108056240 162084360 324168720 175479281651 350958563302 526437844953 701917126604 877396408255 1052875689906 1403834253208 1754792816510 2105751379812 2632189224765 2807668506416 3509585633020 4211502759624 5264378449530 7019171266040 8423005519248 10528756899060 14038342532080 21057513798120 42115027596240