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42146157924 = 22331352357397
BaseRepresentation
bin100111010000000110…
…110101010101100100
311000210020102122201000
4213100012311111210
51142303404023144
631210042233300
73021264300663
oct472006652544
9130706378630
1042146157924
1116968453282
1282027b5830
133c888b1ab0
14207b630dda
15116a11a769
hex9d01b5564

42146157924 has 96 divisors (see below), whose sum is σ = 117900083840. Its totient is φ = 12943027584.

The previous prime is 42146157919. The next prime is 42146157967. The reversal of 42146157924 is 42975164124.

42146157924 is a `hidden beast` number, since 4 + 2 + 1 + 4 + 615 + 7 + 9 + 24 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 42146157924.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 705594 + ... + 762990.

Almost surely, 242146157924 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 42146157924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58950041920).

42146157924 is an abundant number, since it is smaller than the sum of its proper divisors (75753925916).

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

42146157924 is a wasteful number, since it uses less digits than its factorization.

42146157924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57946 (or 57938 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The spelling of 42146157924 in words is "forty-two billion, one hundred forty-six million, one hundred fifty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 523 702 1046 1404 1569 2092 3138 4707 6276 6799 9414 13598 14121 18828 20397 27196 28242 40794 56484 57397 61191 81588 114794 122382 172191 183573 229588 244764 344382 367146 516573 688764 734292 746161 1033146 1492322 1549719 2066292 2238483 2984644 3099438 4476966 6198876 6715449 8953932 13430898 20146347 26861796 30018631 40292694 60037262 80585388 90055893 120074524 180111786 270167679 360223572 390242203 540335358 780484406 810503037 1080670716 1170726609 1560968812 1621006074 2341453218 3242012148 3512179827 4682906436 7024359654 10536539481 14048719308 21073078962 42146157924