Search a number
-
+
124232114040 = 23353097133427
BaseRepresentation
bin111001110110011001…
…1111001111101111000
3102212122221122021112220
41303230303321331320
54013411410122130
6133023233204040
711655405355206
oct1635463717570
9385587567486
10124232114040
1148760876031
12200b1100620
13b93ac28368
14602743c076
1533717ca410
hex1ceccf9f78

124232114040 has 64 divisors (see below), whose sum is σ = 372719525760. Its totient is φ = 33126503040.

The previous prime is 124232113997. The next prime is 124232114047. The reversal of 124232114040 is 40411232421.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 124232114040.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (124232114047) 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, 3699807 + ... + 3733233.

It is an arithmetic number, because the mean of its divisors is an integer number (5823742590).

Almost surely, 2124232114040 is an apocalyptic number.

124232114040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

124232114040 is an abundant number, since it is smaller than the sum of its proper divisors (248487411720).

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

124232114040 is a wasteful number, since it uses less digits than its factorization.

124232114040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 64412 (or 64408 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 124232114040 its reverse (40411232421), we get a palindrome (164643346461).

The spelling of 124232114040 in words is "one hundred twenty-four billion, two hundred thirty-two million, one hundred fourteen thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 30971 33427 61942 66854 92913 100281 123884 133708 154855 167135 185826 200562 247768 267416 309710 334270 371652 401124 464565 501405 619420 668540 743304 802248 929130 1002810 1238840 1337080 1858260 2005620 3716520 4011240 1035267617 2070535234 3105802851 4141070468 5176338085 6211605702 8282140936 10352676170 12423211404 15529014255 20705352340 24846422808 31058028510 41410704680 62116057020 124232114040