Search a number
-
+
241215150512424 = 2331119206447232937
BaseRepresentation
bin110110110110001001000111…
…010111000101100100101000
31011122001221110120121221210010
4312312021013113011210220
5223104032112012344144
62213004413234251520
7101544135203326464
oct6666110727054450
91148057416557703
10241215150512424
116a949852aa8760
1223079141a26ba0
13a47964cc0859a
14437cc3882b4a4
151cd485dadc5b9
hexdb62475c5928

241215150512424 has 128 divisors (see below), whose sum is σ = 692490012825600. Its totient is φ = 69247735856640.

The previous prime is 241215150512389. The next prime is 241215150512437. The reversal of 241215150512424 is 424215051512142.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1035421684 + ... + 1035654620.

It is an arithmetic number, because the mean of its divisors is an integer number (5410078225200).

Almost surely, 2241215150512424 is an apocalyptic number.

241215150512424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

241215150512424 is an abundant number, since it is smaller than the sum of its proper divisors (451274862313176).

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

241215150512424 is a wasteful number, since it uses less digits than its factorization.

241215150512424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 439423 (or 439419 counting only the distinct ones).

The product of its (nonzero) digits is 128000, while the sum is 39.

The spelling of 241215150512424 in words is "two hundred forty-one trillion, two hundred fifteen billion, one hundred fifty million, five hundred twelve thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 19 22 24 33 38 44 57 66 76 88 114 132 152 209 228 264 418 456 627 836 1254 1672 2508 5016 206447 232937 412894 465874 619341 698811 825788 931748 1238682 1397622 1651576 1863496 2270917 2477364 2562307 2795244 3922493 4425803 4541834 4954728 5124614 5590488 6812751 7686921 7844986 8851606 9083668 10249228 11767479 13277409 13625502 15373842 15689972 17703212 18167336 20498456 23534958 26554818 27251004 30747684 31379944 35406424 43147423 47069916 48683833 53109636 54502008 61495368 86294846 94139832 97367666 106219272 129442269 146051499 172589692 194735332 258884538 292102998 345179384 389470664 517769076 584205996 1035538152 1168411992 48089144839 96178289678 144267434517 192356579356 288534869034 384713158712 528980593229 577069738068 913693751941 1057961186458 1154139476136 1586941779687 1827387503882 2115922372916 2741081255823 3173883559374 3654775007764 4231844745832 5482162511646 6347767118748 7309550015528 10050631271351 10964325023292 12695534237496 20101262542702 21928650046584 30151893814053 40202525085404 60303787628106 80405050170808 120607575256212 241215150512424