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16414244154 = 23271165917971
BaseRepresentation
bin11110100100101110…
…10111110100111010
31120100221021222221200
433102113113310322
5232104021303104
611312434115030
71120521526140
oct172227276472
946327258850
1016414244154
116a6345a640
12322111ba76
131717844109
14b19da3590
1566106eb39
hex3d25d7d3a

16414244154 has 96 divisors (see below), whose sum is σ = 44409530880. Its totient is φ = 4256733600.

The previous prime is 16414244131. The next prime is 16414244183. The reversal of 16414244154 is 45144241461.

16414244154 is a `hidden beast` number, since 1 + 641 + 4 + 2 + 4 + 4 + 1 + 5 + 4 = 666.

It is a super-2 number, since 2×164142441542 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 904389 + ... + 922359.

It is an arithmetic number, because the mean of its divisors is an integer number (462599280).

Almost surely, 216414244154 is an apocalyptic number.

16414244154 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 16414244154, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22204765440).

16414244154 is an abundant number, since it is smaller than the sum of its proper divisors (27995286726).

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

16414244154 is a wasteful number, since it uses less digits than its factorization.

16414244154 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18656 (or 18653 counting only the distinct ones).

The product of its digits is 61440, while the sum is 36.

The spelling of 16414244154 in words is "sixteen billion, four hundred fourteen million, two hundred forty-four thousand, one hundred fifty-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 33 42 63 66 77 99 126 154 198 231 462 659 693 1318 1386 1977 3954 4613 5931 7249 9226 11862 13839 14498 17971 21747 27678 35942 41517 43494 50743 53913 65241 83034 101486 107826 125797 130482 152229 161739 197681 251594 304458 323478 377391 395362 456687 593043 754782 913374 1132173 1186086 1383767 1779129 2264346 2767534 3558258 4151301 8302602 11842889 12453903 23685778 24907806 35528667 71057334 82900223 106586001 130271779 165800446 213172002 248700669 260543558 390815337 497401338 746102007 781630674 911902453 1172446011 1492204014 1823804906 2344892022 2735707359 5471414718 8207122077 16414244154