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402424310040 = 233511341117219
BaseRepresentation
bin1011101101100100101…
…10111010100100011000
31102110201122100002011120
411312302112322210120
523043131110410130
6504512101325240
741034310124214
oct5666226724430
91373648302146
10402424310040
11145738039415
1265bab106820
132bc4398911c
141569814d944
15a704672910
hex5db25ba918

402424310040 has 128 divisors (see below), whose sum is σ = 1218421785600. Its totient is φ = 106322872320.

The previous prime is 402424310021. The next prime is 402424310047. The reversal of 402424310040 is 40013424204.

It is a happy number.

It is a super-2 number, since 2×4024243100402 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402424310047) 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, 55741551 + ... + 55748769.

It is an arithmetic number, because the mean of its divisors is an integer number (9518920200).

Almost surely, 2402424310040 is an apocalyptic number.

402424310040 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 402424310040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609210892800).

402424310040 is an abundant number, since it is smaller than the sum of its proper divisors (815997475560).

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

402424310040 is a wasteful number, since it uses less digits than its factorization.

402424310040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11457 (or 11453 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 402424310040 its reverse (40013424204), we get a palindrome (442437734244).

The spelling of 402424310040 in words is "four hundred two billion, four hundred twenty-four million, three hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 113 120 226 339 452 565 678 904 1130 1356 1695 2260 2712 3390 4111 4520 6780 7219 8222 12333 13560 14438 16444 20555 21657 24666 28876 32888 36095 41110 43314 49332 57752 61665 72190 82220 86628 98664 108285 123330 144380 164440 173256 216570 246660 288760 433140 464543 493320 815747 866280 929086 1393629 1631494 1858172 2322715 2447241 2787258 3262988 3716344 4078735 4645430 4894482 5574516 6525976 6968145 8157470 9290860 9788964 11149032 12236205 13936290 16314940 18581720 19577928 24472410 27872580 29677309 32629880 48944820 55745160 59354618 89031927 97889640 118709236 148386545 178063854 237418472 296773090 356127708 445159635 593546180 712255416 890319270 1187092360 1780638540 3353535917 3561277080 6707071834 10060607751 13414143668 16767679585 20121215502 26828287336 33535359170 40242431004 50303038755 67070718340 80484862008 100606077510 134141436680 201212155020 402424310040