Cookie Consent by FreePrivacyPolicy.com
Search a number
-
+
10334417940264 = 2331185945571039
BaseRepresentation
bin1001011001100010101101…
…0011110110111100101000
31100120221221100120210122210
42112120223103312330220
52323304341443042024
633551322134045120
72114431340054055
oct226305323667450
940527840523583
1010334417940264
113324890567250
1211aaa677a97a0
1359c6ba723c52
1427a28d34402c
1512dc4e00a129
hex9662b4f6f28

10334417940264 has 64 divisors (see below), whose sum is σ = 28217587968000. Its totient is φ = 3127996048320.

The previous prime is 10334417940263. The next prime is 10334417940299. The reversal of 10334417940264 is 46204971443301.

It is not an unprimeable number, because it can be changed into a prime (10334417940263) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 22558744 + ... + 23012295.

It is an arithmetic number, because the mean of its divisors is an integer number (440899812000).

Almost surely, 210334417940264 is an apocalyptic number.

It is an amenable number.

10334417940264 is an abundant number, since it is smaller than the sum of its proper divisors (17883170027736).

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

10334417940264 is a wasteful number, since it uses less digits than its factorization.

10334417940264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45571918 (or 45571914 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 48.

The spelling of 10334417940264 in words is "ten trillion, three hundred thirty-four billion, four hundred seventeen million, nine hundred forty thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 88 132 264 859 1718 2577 3436 5154 6872 9449 10308 18898 20616 28347 37796 56694 75592 113388 226776 45571039 91142078 136713117 182284156 273426234 364568312 501281429 546852468 1002562858 1093704936 1503844287 2005125716 3007688574 4010251432 6015377148 12030754296 39145522501 78291045002 117436567503 156582090004 234873135006 313164180008 430600747511 469746270012 861201495022 939492540024 1291802242533 1722402990044 2583604485066 3444805980088 5167208970132 10334417940264