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1002132440424 = 233337214158567
BaseRepresentation
bin11101001010100111011…
…11111000010101101000
310112210200022222121211000
432211103233320111220
5112404331401043144
62044212344035000
7132254530124343
oct16452357702550
93483608877730
101002132440424
11357002700a55
12142278162a60
13736680043cb
143670973945a
151b103a8a769
hexe953bf8568

1002132440424 has 128 divisors (see below), whose sum is σ = 2860320556800. Its totient is φ = 324858574080.

The previous prime is 1002132440423. The next prime is 1002132440497. The reversal of 1002132440424 is 4240442312001.

1002132440424 is a `hidden beast` number, since 1 + 0 + 0 + 213 + 2 + 440 + 4 + 2 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1002132440423) 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, 17081589 + ... + 17140155.

It is an arithmetic number, because the mean of its divisors is an integer number (22346254350).

Almost surely, 21002132440424 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 1002132440424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1430160278400).

1002132440424 is an abundant number, since it is smaller than the sum of its proper divisors (1858188116376).

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

1002132440424 is a wasteful number, since it uses less digits than its factorization.

1002132440424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60760 (or 60750 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 1002132440424 its reverse (4240442312001), we get a palindrome (5242574752425).

The spelling of 1002132440424 in words is "one trillion, two billion, one hundred thirty-two million, four hundred forty thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 37 54 72 74 108 111 148 216 222 296 333 444 666 888 999 1332 1998 2141 2664 3996 4282 6423 7992 8564 12846 17128 19269 25692 38538 51384 57807 58567 77076 79217 115614 117134 154152 158434 175701 231228 234268 237651 316868 351402 462456 468536 475302 527103 633736 702804 712953 950604 1054206 1405608 1425906 1581309 1901208 2108412 2138859 2166979 2851812 3162618 4216824 4277718 4333958 5703624 6325236 6500937 8555436 8667916 12650472 13001874 17110872 17335832 19502811 26003748 39005622 52007496 58508433 78011244 117016866 125391947 156022488 234033732 250783894 376175841 468067464 501567788 752351682 1003135576 1128527523 1504703364 2257055046 3009406728 3385582569 4514110092 4639502039 6771165138 9028220184 9279004078 13542330276 13918506117 18558008156 27084660552 27837012234 37116016312 41755518351 55674024468 83511036702 111348048936 125266555053 167022073404 250533110106 334044146808 501066220212 1002132440424