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42403646544 = 24371042912101
BaseRepresentation
bin100111011111011101…
…000100110001010000
311001110011221102200120
4213133131010301100
51143320313142134
631251401150240
73030542022450
oct473735046120
9131404842616
1042403646544
1116a8a831296
128274a8b380
133cca046c1c
1420a38d9d60
151182a2d649
hex9df744c50

42403646544 has 80 divisors (see below), whose sum is σ = 125214069120. Its totient is φ = 12113164800.

The previous prime is 42403646539. The next prime is 42403646557. The reversal of 42403646544 is 44564630424.

It is a happy number.

42403646544 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 42403646496 and 42403646505.

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, 3498094 + ... + 3510194.

It is an arithmetic number, because the mean of its divisors is an integer number (1565175864).

Almost surely, 242403646544 is an apocalyptic number.

It is an amenable number.

42403646544 is an abundant number, since it is smaller than the sum of its proper divisors (82810422576).

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

42403646544 is a wasteful number, since it uses less digits than its factorization.

42403646544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22548 (or 22542 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 42.

The spelling of 42403646544 in words is "forty-two billion, four hundred three million, six hundred forty-six thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 10429 12101 20858 24202 31287 36303 41716 48404 62574 72606 73003 83432 84707 96808 125148 145212 146006 166864 169414 193616 219009 250296 254121 290424 292012 338828 438018 500592 508242 580848 584024 677656 876036 1016484 1168048 1355312 1752072 2032968 3504144 4065936 126201329 252402658 378603987 504805316 757207974 883409303 1009610632 1514415948 1766818606 2019221264 2650227909 3028831896 3533637212 5300455818 6057663792 7067274424 10600911636 14134548848 21201823272 42403646544