Search a number
-
+
38400120634216 = 23117114251431267
BaseRepresentation
bin10001011101100101110011…
…00011001011101101101000
312000222000102102122101101011
420232302321203023231220
520013121421340243331
6213400434421033304
711042213533601635
oct1056627143135550
9160860372571334
1038400120634216
1111265444010990
12438224a855834
13185716765b223
1496a80bc3118c
15468d1e0163b1
hex22ecb98cbb68

38400120634216 has 64 divisors (see below), whose sum is σ = 79657752706560. Its totient is φ = 17207513400000.

The previous prime is 38400120634181. The next prime is 38400120634259. The reversal of 38400120634216 is 61243602100483.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 88824615 + ... + 89255881.

It is an arithmetic number, because the mean of its divisors is an integer number (1244652386040).

Almost surely, 238400120634216 is an apocalyptic number.

It is an amenable number.

38400120634216 is an abundant number, since it is smaller than the sum of its proper divisors (41257632072344).

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

38400120634216 is a wasteful number, since it uses less digits than its factorization.

38400120634216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 445606 (or 445602 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 40.

Adding to 38400120634216 its reverse (61243602100483), we get a palindrome (99643722734699).

The spelling of 38400120634216 in words is "thirty-eight trillion, four hundred billion, one hundred twenty million, six hundred thirty-four thousand, two hundred sixteen".

Divisors: 1 2 4 8 11 22 44 71 88 142 284 568 781 1562 3124 6248 14251 28502 57004 114008 156761 313522 431267 627044 862534 1011821 1254088 1725068 2023642 3450136 4047284 4743937 8094568 9487874 11130031 18975748 22260062 30619957 37951496 44520124 61239914 89040248 122479828 244959656 336819527 673639054 1347278108 2694556216 6145986017 12291972034 24583944068 49167888136 67605846187 135211692374 270423384748 436365007207 540846769496 872730014414 1745460028828 3490920057656 4800015079277 9600030158554 19200060317108 38400120634216