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457914707140 = 2251119223491251
BaseRepresentation
bin1101010100111011101…
…01111110110011000100
31121202221212022022201011
412222131311332303010
530000302131112030
6550210233212004
745040360534462
oct6523565766304
91552855268634
10457914707140
11167222a07030
12748b6861004
1334248059917
141823db17832
15bda103bb2a
hex6a9dd7ecc4

457914707140 has 96 divisors (see below), whose sum is σ = 1109207715840. Its totient is φ = 157042800000.

The previous prime is 457914707101. The next prime is 457914707147. The reversal of 457914707140 is 41707419754.

It is a super-2 number, since 2×4579147071402 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (457914707147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 686515 + ... + 1177765.

It is an arithmetic number, because the mean of its divisors is an integer number (11554247040).

Almost surely, 2457914707140 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 457914707140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (554603857920).

457914707140 is an abundant number, since it is smaller than the sum of its proper divisors (651293008700).

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

457914707140 is a wasteful number, since it uses less digits than its factorization.

457914707140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491513 (or 491511 counting only the distinct ones).

The product of its (nonzero) digits is 987840, while the sum is 49.

The spelling of 457914707140 in words is "four hundred fifty-seven billion, nine hundred fourteen million, seven hundred seven thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 95 110 190 209 220 223 380 418 446 836 892 1045 1115 2090 2230 2453 4180 4237 4460 4906 8474 9812 12265 16948 21185 24530 42370 46607 49060 84740 93214 186428 233035 466070 491251 932140 982502 1965004 2456255 4912510 5403761 9333769 9825020 10807522 18667538 21615044 27018805 37335076 46668845 54037610 93337690 102671459 108075220 109548973 186675380 205342918 219097946 410685836 438195892 513357295 547744865 1026714590 1095489730 1205038703 2053429180 2081430487 2190979460 2410077406 4162860974 4820154812 6025193515 8325721948 10407152435 12050387030 20814304870 22895735357 24100774060 41628609740 45791470714 91582941428 114478676785 228957353570 457914707140