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150242014416 = 24313418370753
BaseRepresentation
bin1000101111101100011…
…1110011010011010000
3112100210121212010020110
42023323013303103100
54430143423430131
6153004211441320
713566065023434
oct2137307632320
9470717763213
10150242014416
115879877816a
122514b8b6240
1311224757160
1473b398c9c4
153d94e87646
hex22fb1f34d0

150242014416 has 160 divisors (see below), whose sum is σ = 433340514432. Its totient is φ = 44556779520.

The previous prime is 150242014409. The next prime is 150242014463. The reversal of 150242014416 is 614410242051.

It is a congruent number.

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, 2088096 + ... + 2158848.

Almost surely, 2150242014416 is an apocalyptic number.

150242014416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150242014416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216670257216).

150242014416 is an abundant number, since it is smaller than the sum of its proper divisors (283098500016).

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

150242014416 is a wasteful number, since it uses less digits than its factorization.

150242014416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70901 (or 70895 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

Adding to 150242014416 its reverse (614410242051), we get a palindrome (764652256467).

The spelling of 150242014416 in words is "one hundred fifty billion, two hundred forty-two million, fourteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 41 48 52 78 82 83 104 123 156 164 166 208 246 249 312 328 332 492 498 533 624 656 664 984 996 1066 1079 1328 1599 1968 1992 2132 2158 3198 3237 3403 3984 4264 4316 6396 6474 6806 8528 8632 10209 12792 12948 13612 17264 20418 25584 25896 27224 40836 44239 51792 54448 70753 81672 88478 132717 141506 163344 176956 212259 265434 283012 353912 424518 530868 566024 707824 849036 919789 1061736 1132048 1698072 1839578 2123472 2759367 2900873 3396144 3679156 5518734 5801746 5872499 7358312 8702619 11037468 11603492 11744998 14716624 17405238 17617497 22074936 23206984 23489996 34810476 35234994 37711349 44149872 46413968 46979992 69620952 70469988 75422698 76342487 93959984 113134047 139241904 140939976 150845396 152684974 226268094 229027461 240772459 281879952 301690792 305369948 452536188 458054922 481544918 603381584 610739896 722317377 905072376 916109844 963089836 1221479792 1444634754 1810144752 1832219688 1926179672 2889269508 3130041967 3664439376 3852359344 5778539016 6260083934 9390125901 11557078032 12520167868 18780251802 25040335736 37560503604 50080671472 75121007208 150242014416