Search a number
-
+
102014456432 = 2473041299521
BaseRepresentation
bin101111100000010001…
…0010001001001110000
3100202022120012022222012
41133000202101021300
53132411200101212
6114510443502052
710241004400220
oct1370042211160
9322276168865
10102014456432
113a29a557029
1217930527928
139809c78bb5
144d1a800080
1529c1005922
hex17c0891270

102014456432 has 40 divisors (see below), whose sum is σ = 225964189152. Its totient is φ = 43705958400.

The previous prime is 102014456429. The next prime is 102014456449. The reversal of 102014456432 is 234654410201.

It is a super-2 number, since 2×1020144564322 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 190832 + ... + 490352.

Almost surely, 2102014456432 is an apocalyptic number.

It is an amenable number.

102014456432 is an abundant number, since it is smaller than the sum of its proper divisors (123949732720).

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

102014456432 is a wasteful number, since it uses less digits than its factorization.

102014456432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 302577 (or 302571 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

Adding to 102014456432 its reverse (234654410201), we get a palindrome (336668866633).

The spelling of 102014456432 in words is "one hundred two billion, fourteen million, four hundred fifty-six thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 56 112 3041 6082 12164 21287 24328 42574 48656 85148 170296 299521 340592 599042 1198084 2096647 2396168 4193294 4792336 8386588 16773176 33546352 910843361 1821686722 3643373444 6375903527 7286746888 12751807054 14573493776 25503614108 51007228216 102014456432