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46226046420240 = 2435743259230857
BaseRepresentation
bin10101000001010110101110…
…00100111000010100010000
320001200011111122200111020020
422200223113010320110100
522024331420340421430
6242151541430343440
712510502344322161
oct1240532704702420
9201604448614206
1046226046420240
11138023a1103765
125226b014bab80
131ca41361c0cbb
14b5b4d16c5768
155526a3aebb10
hex2a0ad7138510

46226046420240 has 80 divisors (see below), whose sum is σ = 143493612213888. Its totient is φ = 12310354889728.

The previous prime is 46226046420233. The next prime is 46226046420251. The reversal of 46226046420240 is 4202464062264.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 46226046420192 and 46226046420201.

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, 129437109 + ... + 129793748.

Almost surely, 246226046420240 is an apocalyptic number.

46226046420240 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

46226046420240 is an abundant number, since it is smaller than the sum of its proper divisors (97267565793648).

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

46226046420240 is a wasteful number, since it uses less digits than its factorization.

46226046420240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 259231616 (or 259231610 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 42.

The spelling of 46226046420240 in words is "forty-six trillion, two hundred twenty-six billion, forty-six million, four hundred twenty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 743 1486 2229 2972 3715 4458 5944 7430 8916 11145 11888 14860 17832 22290 29720 35664 44580 59440 89160 178320 259230857 518461714 777692571 1036923428 1296154285 1555385142 2073846856 2592308570 3110770284 3888462855 4147693712 5184617140 6221540568 7776925710 10369234280 12443081136 15553851420 20738468560 31107702840 62215405680 192608526751 385217053502 577825580253 770434107004 963042633755 1155651160506 1540868214008 1926085267510 2311302321012 2889127901265 3081736428016 3852170535020 4622604642024 5778255802530 7704341070040 9245209284048 11556511605060 15408682140080 23113023210120 46226046420240