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458421956140 = 2251729257180907
BaseRepresentation
bin1101010101111000001…
…00111110111000101100
31121211021012210020112011
412222330010332320230
530002322010044030
6550332433251004
745056060222521
oct6527404767054
91554235706464
10458421956140
11167463274785
1274a18703a64
13342c917c365
141828b239148
15bdd0837b2a
hex6abc13ee2c

458421956140 has 96 divisors (see below), whose sum is σ = 1058572307520. Its totient is φ = 165981978624.

The previous prime is 458421956107. The next prime is 458421956143. The reversal of 458421956140 is 41659124854.

It is not an unprimeable number, because it can be changed into a prime (458421956143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2443567 + ... + 2624473.

It is an arithmetic number, because the mean of its divisors is an integer number (11026794870).

Almost surely, 2458421956140 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 458421956140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (529286153760).

458421956140 is an abundant number, since it is smaller than the sum of its proper divisors (600150351380).

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

458421956140 is a wasteful number, since it uses less digits than its factorization.

458421956140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181219 (or 181217 counting only the distinct ones).

The product of its (nonzero) digits is 1382400, while the sum is 49.

The spelling of 458421956140 in words is "four hundred fifty-eight billion, four hundred twenty-one million, nine hundred fifty-six thousand, one hundred forty".

Divisors: 1 2 4 5 10 17 20 29 34 58 68 85 116 145 170 257 290 340 493 514 580 986 1028 1285 1972 2465 2570 4369 4930 5140 7453 8738 9860 14906 17476 21845 29812 37265 43690 74530 87380 126701 149060 180907 253402 361814 506804 633505 723628 904535 1267010 1809070 2534020 3075419 3618140 5246303 6150838 10492606 12301676 15377095 20985212 26231515 30754190 46493099 52463030 61508380 89187151 92986198 104926060 178374302 185972396 232465495 356748604 445935755 464930990 790382683 891871510 929861980 1348299871 1580765366 1783743020 2696599742 3161530732 3951913415 5393199484 6741499355 7903826830 13482998710 15807653660 22921097807 26965997420 45842195614 91684391228 114605489035 229210978070 458421956140