Search a number
-
+
3315005013042 = 2333115803125311
BaseRepresentation
bin110000001111010101101…
…100100011110000110010
3102201220121101202221111000
4300033111230203300302
5413303112240404132
611014520422102430
7461333625455232
oct60172554436062
912656541687430
103315005013042
1110689819a93a8
1245657857aa16
131b07b0241548
14b6638ba5cc2
155b36e3a787c
hex303d5b23c32

3315005013042 has 64 divisors (see below), whose sum is σ = 7604854456320. Its totient is φ = 1069280254800.

The previous prime is 3315005013029. The next prime is 3315005013091. The reversal of 3315005013042 is 2403105005133.

3315005013042 is a `hidden beast` number, since 3 + 3 + 150 + 0 + 501 + 3 + 0 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 3315005012997 and 3315005013015.

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, 26391567 + ... + 26516877.

It is an arithmetic number, because the mean of its divisors is an integer number (118825850880).

Almost surely, 23315005013042 is an apocalyptic number.

3315005013042 is an abundant number, since it is smaller than the sum of its proper divisors (4289849443278).

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

3315005013042 is a wasteful number, since it uses less digits than its factorization.

3315005013042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141156 (or 141150 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The spelling of 3315005013042 in words is "three trillion, three hundred fifteen billion, five million, thirteen thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 15803 31606 47409 94818 125311 142227 250622 284454 375933 426681 489893 751866 853362 979786 1127799 1469679 2255598 2939358 3383397 3884641 4409037 6766794 7769282 8818074 11653923 13227111 23307846 26454222 34961769 69923538 104885307 209770614 1980289733 3960579466 5940869199 11881738398 17822607597 35645215194 53467822791 61388981723 106935645582 122777963446 184166945169 368333890338 552500835507 1105001671014 1657502506521 3315005013042