Search a number
-
+
312403221240 = 233511236669107
BaseRepresentation
bin1001000101111001010…
…11101101101011111000
31002212100220202221122120
410202330223231223320
520104300211034430
6355303245121240
731366433365245
oct4427453555370
91085326687576
10312403221240
11110542523a70
1250667259220
13235c8691c86
14111985225cc
1581d652c610
hex48bcaedaf8

312403221240 has 64 divisors (see below), whose sum is σ = 1022410546560. Its totient is φ = 75734113920.

The previous prime is 312403221239. The next prime is 312403221287. The reversal of 312403221240 is 42122304213.

It is a happy number.

It is a super-2 number, since 2×3124032212402 (a number of 24 digits) contains 22 as substring.

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 312403221240.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118333234 + ... + 118335873.

It is an arithmetic number, because the mean of its divisors is an integer number (15975164790).

Almost surely, 2312403221240 is an apocalyptic number.

312403221240 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

312403221240 is an abundant number, since it is smaller than the sum of its proper divisors (710007325320).

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

312403221240 is a wasteful number, since it uses less digits than its factorization.

312403221240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236669132 (or 236669128 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 312403221240 its reverse (42122304213), we get a palindrome (354525525453).

The spelling of 312403221240 in words is "three hundred twelve billion, four hundred three million, two hundred twenty-one thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 236669107 473338214 710007321 946676428 1183345535 1420014642 1893352856 2366691070 2603360177 2840029284 3550036605 4733382140 5206720354 5680058568 7100073210 7810080531 9466764280 10413440708 13016800885 14200146420 15620161062 20826881416 26033601770 28400292840 31240322124 39050402655 52067203540 62480644248 78100805310 104134407080 156201610620 312403221240