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42345503144 = 2374733747741
BaseRepresentation
bin100111011011111111…
…010001100110101000
311001022010112102221022
4213123333101212220
51143210422100034
631241523032012
73026234560250
oct473377214650
9131263472838
1042345503144
1116a5aa2929a
12825950b608
133cbac9a049
142099cc2960
15117c895b2e
hex9dbfd19a8

42345503144 has 64 divisors (see below), whose sum is σ = 92947944960. Its totient is φ = 17708866560.

The previous prime is 42345503143. The next prime is 42345503171. The reversal of 42345503144 is 44130554324.

It is not an unprimeable number, because it can be changed into a prime (42345503143) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 863114 + ... + 910854.

It is an arithmetic number, because the mean of its divisors is an integer number (1452311640).

Almost surely, 242345503144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42345503144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46473972480).

42345503144 is an abundant number, since it is smaller than the sum of its proper divisors (50602441816).

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

42345503144 is a wasteful number, since it uses less digits than its factorization.

42345503144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48138 (or 48134 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 42345503144 in words is "forty-two billion, three hundred forty-five million, five hundred three thousand, one hundred forty-four".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 337 376 658 674 1316 1348 2359 2632 2696 4718 9436 15839 18872 31678 47741 63356 95482 110873 126712 190964 221746 334187 381928 443492 668374 886984 1336748 2243827 2673496 4487654 8975308 15706789 16088717 17950616 31413578 32177434 62827156 64354868 112621019 125654312 128709736 225242038 450484076 756169699 900968152 1512339398 3024678796 5293187893 6049357592 10586375786 21172751572 42345503144