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312452952140 = 225721779237401
BaseRepresentation
bin1001000101111111010…
…01011011000001001100
31002212111101100112121202
410202333221123001030
520104400423432030
6355312223045032
731400606162300
oct4427751330114
91085441315552
10312452952140
1111056860058a
125067ba40778
1323605a84a44
14111a0d89d00
1581daaa2745
hex48bfa5b04c

312452952140 has 144 divisors (see below), whose sum is σ = 818410158720. Its totient is φ = 99548467200.

The previous prime is 312452952131. The next prime is 312452952143. The reversal of 312452952140 is 41259254213.

It is a super-2 number, since 2×3124529521402 (a number of 24 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 312452952094 and 312452952103.

It is not an unprimeable number, because it can be changed into a prime (312452952143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1197440 + ... + 1434840.

It is an arithmetic number, because the mean of its divisors is an integer number (5683403880).

Almost surely, 2312452952140 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 312452952140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (409205079360).

312452952140 is an abundant number, since it is smaller than the sum of its proper divisors (505957206580).

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

312452952140 is a wasteful number, since it uses less digits than its factorization.

312452952140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 237520 (or 237511 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The spelling of 312452952140 in words is "three hundred twelve billion, four hundred fifty-two million, nine hundred fifty-two thousand, one hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 79 85 98 119 140 158 170 196 238 245 316 340 395 476 490 553 595 790 833 980 1106 1190 1343 1580 1666 2212 2380 2686 2765 3332 3871 4165 5372 5530 6715 7742 8330 9401 11060 13430 15484 16660 18802 19355 26860 37604 38710 47005 65807 77420 94010 131614 188020 237401 263228 329035 474802 658070 949604 1187005 1316140 1661807 2374010 3323614 4035817 4748020 6647228 8071634 8309035 11632649 16143268 16618070 18754679 20179085 23265298 28250719 33236140 37509358 40358170 46530596 56501438 58163245 75018716 80716340 93773395 113002876 116326490 131282753 141253595 187546790 197755033 232652980 262565506 282507190 318829543 375093580 395510066 525131012 565014380 637659086 656413765 791020132 918979271 988775165 1275318172 1312827530 1594147715 1837958542 1977550330 2231806801 2625655060 3188295430 3675917084 3955100660 4463613602 4594896355 6376590860 8927227204 9189792710 11159034005 15622647607 18379585420 22318068010 31245295214 44636136020 62490590428 78113238035 156226476070 312452952140