Search a number
-
+
100414200244414 = 2749333735738921
BaseRepresentation
bin10110110101001110000000…
…101111000110100010111110
3111011112111121021011001112211
4112311032000233012202332
5101130141240230310124
6553321351411251034
730102454330134610
oct2665160057064276
9434474537131484
10100414200244414
1129aa4472277361
12b318b405a9a7a
134405031704774
141ab2104cd4db0
15b9200cba2e94
hex5b5380bc68be

100414200244414 has 32 divisors (see below), whose sum is σ = 172182556967616. Its totient is φ = 43023676227840.

The previous prime is 100414200244399. The next prime is 100414200244487. The reversal of 100414200244414 is 414442002414001.

It is a super-2 number, since 2×1004142002444142 (a number of 29 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 15 ways as a sum of consecutive naturals, for example, 2579929674 + ... + 2579968594.

It is an arithmetic number, because the mean of its divisors is an integer number (5380704905238).

Almost surely, 2100414200244414 is an apocalyptic number.

100414200244414 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

100414200244414 is a deficient number, since it is larger than the sum of its proper divisors (71768356723202).

100414200244414 is a wasteful number, since it uses less digits than its factorization.

100414200244414 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81220.

The product of its (nonzero) digits is 16384, while the sum is 31.

Adding to 100414200244414 its reverse (414442002414001), we get a palindrome (514856202658415).

The spelling of 100414200244414 in words is "one hundred trillion, four hundred fourteen billion, two hundred million, two hundred forty-four thousand, four hundred fourteen".

Divisors: 1 2 7 14 4933 9866 34531 37357 38921 69062 74714 77842 261499 272447 522998 544894 184282081 191997293 368564162 383994586 1289974567 1343981051 1453971797 2579949134 2687962102 2907943594 10177802579 20355605158 7172442874601 14344885749202 50207100122207 100414200244414