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412034510222040 = 233518313691874893
BaseRepresentation
bin101110110101111100100001…
…0100111011111001011011000
32000000220010002110102010211010
41131223321002213133023120
5413001233134104101130
64020154012454533520
7152534340162000156
oct13553710247371330
92000803073363733
10412034510222040
1110a317944337062
123a26706b9672a0
13148ba8c2847b64
1473a681067c3d6
153297e6aad50b0
hex176be429df2d8

412034510222040 has 64 divisors (see below), whose sum is σ = 1236104864920800. Its totient is φ = 109875750792192.

The previous prime is 412034510222021. The next prime is 412034510222287. The reversal of 412034510222040 is 40222015430214.

It is a happy number.

It is a super-2 number, since 2×4120345102220402 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 412034510221989 and 412034510222007.

It is a congruent number.

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, 218826834 + ... + 220701726.

Almost surely, 2412034510222040 is an apocalyptic number.

412034510222040 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

412034510222040 is an abundant number, since it is smaller than the sum of its proper divisors (824070354698760).

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

412034510222040 is a wasteful number, since it uses less digits than its factorization.

412034510222040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3706276 (or 3706272 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 412034510222040 its reverse (40222015430214), we get a palindrome (452256525652254).

The spelling of 412034510222040 in words is "four hundred twelve trillion, thirty-four billion, five hundred ten million, two hundred twenty-two thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1831369 1874893 3662738 3749786 5494107 5624679 7325476 7499572 9156845 9374465 10988214 11249358 14650952 14999144 18313690 18748930 21976428 22498716 27470535 28123395 36627380 37497860 43952856 44997432 54941070 56246790 73254760 74995720 109882140 112493580 219764280 224987160 3433620918517 6867241837034 10300862755551 13734483674068 17168104592585 20601725511102 27468967348136 34336209185170 41203451022204 51504313777755 68672418370340 82406902044408 103008627555510 137344836740680 206017255111020 412034510222040