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4514132040 = 23351126912713
BaseRepresentation
bin1000011010001000…
…00011000001001000
3102122121010200000120
410031010003001020
533221104211130
62023533303240
7216602326545
oct41504030110
912577120016
104514132040
111a07123240
12a5b934b20
1356c2b4062
1430b747bcc
151b6480910
hex10d103048

4514132040 has 128 divisors (see below), whose sum is σ = 14829609600. Its totient is φ = 1090181120.

The previous prime is 4514132033. The next prime is 4514132041. The reversal of 4514132040 is 402314154.

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 4514132040.

It is not an unprimeable number, because it can be changed into a prime (4514132041) 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, 348724 + ... + 361436.

It is an arithmetic number, because the mean of its divisors is an integer number (115856325).

Almost surely, 24514132040 is an apocalyptic number.

4514132040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4514132040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7414804800).

4514132040 is an abundant number, since it is smaller than the sum of its proper divisors (10315477560).

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

4514132040 is a wasteful number, since it uses less digits than its factorization.

4514132040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13007 (or 13003 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 4514132040 is about 67187.2907624649. The cubic root of 4514132040 is about 1652.6900764984.

Adding to 4514132040 its reverse (402314154), we get a palindrome (4916446194).

The spelling of 4514132040 in words is "four billion, five hundred fourteen million, one hundred thirty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 269 330 440 538 660 807 1076 1320 1345 1614 2152 2690 2959 3228 4035 5380 5918 6456 8070 8877 10760 11836 12713 14795 16140 17754 23672 25426 29590 32280 35508 38139 44385 50852 59180 63565 71016 76278 88770 101704 118360 127130 139843 152556 177540 190695 254260 279686 305112 355080 381390 419529 508520 559372 699215 762780 839058 1118744 1398430 1525560 1678116 2097645 2796860 3356232 3419797 4195290 5593720 6839594 8390580 10259391 13679188 16781160 17098985 20518782 27358376 34197970 37617767 41037564 51296955 68395940 75235534 82075128 102593910 112853301 136791880 150471068 188088835 205187820 225706602 300942136 376177670 410375640 451413204 564266505 752355340 902826408 1128533010 1504710680 2257066020 4514132040