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2024040422440 = 235177733850621
BaseRepresentation
bin11101011101000010001…
…101011101110000101000
321011111101212010211211101
4131131002031131300220
5231130213322004230
64145455322411144
7266142415503151
oct35350215356050
97144355124741
102024040422440
11710433063003
12288333060ab4
13118b350445ca
146dd6d60c928
15379b3805aca
hex1d74235dc28

2024040422440 has 64 divisors (see below), whose sum is σ = 4828217913360. Its totient is φ = 761005731840.

The previous prime is 2024040422429. The next prime is 2024040422479. The reversal of 2024040422440 is 442240404202.

It can be written as a sum of positive squares in 8 ways, for example, as 132485808196 + 1891554614244 = 363986^2 + 1375338^2 .

It is a junction number, because it is equal to n+sod(n) for n = 2024040422399 and 2024040422408.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1399671 + ... + 2450950.

Almost surely, 22024040422440 is an apocalyptic number.

2024040422440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2024040422440 is an abundant number, since it is smaller than the sum of its proper divisors (2804177490920).

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

2024040422440 is a wasteful number, since it uses less digits than its factorization.

2024040422440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3851422 (or 3851418 counting only the distinct ones).

The product of its (nonzero) digits is 16384, while the sum is 28.

Adding to 2024040422440 its reverse (442240404202), we get a palindrome (2466280826642).

The spelling of 2024040422440 in words is "two trillion, twenty-four billion, forty million, four hundred twenty-two thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 340 680 773 1546 3092 3865 6184 7730 13141 15460 26282 30920 52564 65705 105128 131410 262820 525640 3850621 7701242 15402484 19253105 30804968 38506210 65460557 77012420 130921114 154024840 261842228 327302785 523684456 654605570 1309211140 2618422280 2976530033 5953060066 11906120132 14882650165 23812240264 29765300330 50601010561 59530600660 101202021122 119061201320 202404042244 253005052805 404808084488 506010105610 1012020211220 2024040422440