Search a number
-
+
42320333302324 = 22721160793229001
BaseRepresentation
bin10011001111101011110000…
…11011101110101000110100
312112211210011210101200002221
421213311320123232220310
521021334020311133244
6230001405343412124
711625354211512100
oct1147657033565064
9175753153350087
1042320333302324
1112536a52951140
1248b5b69bb4044
131a7ca373c326c
14a6445a754900
154d5cb0510784
hex267d786eea34

42320333302324 has 72 divisors (see below), whose sum is σ = 93999606382080. Its totient is φ = 16485724080000.

The previous prime is 42320333302267. The next prime is 42320333302343.

42320333302324 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×423203333023242 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 42320333302324.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11491824 + ... + 14720824.

It is an arithmetic number, because the mean of its divisors is an integer number (1305550088640).

Almost surely, 242320333302324 is an apocalyptic number.

42320333302324 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

42320333302324 is an abundant number, since it is smaller than the sum of its proper divisors (51679273079756).

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

42320333302324 is a wasteful number, since it uses less digits than its factorization.

42320333302324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3235109 (or 3235100 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 34.

It can be divided in two parts, 4232033 and 3302324, that added together give a palindrome (7534357).

The spelling of 42320333302324 in words is "forty-two trillion, three hundred twenty billion, three hundred thirty-three million, three hundred two thousand, three hundred twenty-four".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 154 196 308 539 1078 2156 6079 12158 24316 42553 66869 85106 133738 170212 267476 297871 468083 595742 936166 1191484 1872332 3229001 3276581 6458002 6553162 12916004 13106324 22603007 35519011 45206014 71038022 90412028 142076044 158221049 248633077 316442098 497266154 632884196 994532308 1740431539 3480863078 6961726156 19629097079 39258194158 78516388316 137403679553 215920067869 274807359106 431840135738 549614718212 863680271476 961825756871 1511440475083 1923651513742 3022880950166 3847303027484 6045761900332 10580083325581 21160166651162 42320333302324