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312404132303040 = 2635325420971149
BaseRepresentation
bin100011100001000010100000…
…1010101010001000011000000
31111222010112200010020210202010
41013002011001111101003000
5311421412130332144130
63024232251020052520
7122542311425422251
oct10702050125210300
91458115603223663
10312404132303040
11905a59373650a8
122b05601b994140
131054177759825b
14572062532ab28
15261b535d340b0
hex11c21415510c0

312404132303040 has 56 divisors (see below), whose sum is σ = 991883120065200. Its totient is φ = 83307768613888.

The previous prime is 312404132303017. The next prime is 312404132303083. The reversal of 312404132303040 is 40303231404213.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 312404132302989 and 312404132303007.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 162710484615 + ... + 162710486534.

Almost surely, 2312404132303040 is an apocalyptic number.

312404132303040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312404132303040 is an abundant number, since it is smaller than the sum of its proper divisors (679478987762160).

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

312404132303040 is a wasteful number, since it uses less digits than its factorization.

312404132303040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 325420971169 (or 325420971159 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 30.

Adding to 312404132303040 its reverse (40303231404213), we get a palindrome (352707363707253).

The spelling of 312404132303040 in words is "three hundred twelve trillion, four hundred four billion, one hundred thirty-two million, three hundred three thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 325420971149 650841942298 976262913447 1301683884596 1627104855745 1952525826894 2603367769192 3254209711490 3905051653788 4881314567235 5206735538384 6508419422980 7810103307576 9762629134470 10413471076768 13016838845960 15620206615152 19525258268940 20826942153536 26033677691920 31240413230304 39050516537880 52067355383840 62480826460608 78101033075760 104134710767680 156202066151520 312404132303040