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13454147490 = 2357401159769
BaseRepresentation
bin11001000011110110…
…11111111110100010
31021201122100111200220
430201323133332202
5210023230204430
610103013023510
7654256236540
oct144173377642
937648314626
1013454147490
115784574163
122735924b96
1313654c1424
14918bc6d90
1553b25e110
hex321edffa2

13454147490 has 64 divisors (see below), whose sum is σ = 36995063040. Its totient is φ = 3067545600.

The previous prime is 13454147489. The next prime is 13454147491. The reversal of 13454147490 is 9474145431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (13454147489) and next prime (13454147491).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (13454147491) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4326 + ... + 164094.

It is an arithmetic number, because the mean of its divisors is an integer number (578047860).

Almost surely, 213454147490 is an apocalyptic number.

13454147490 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13454147490, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18497531520).

13454147490 is an abundant number, since it is smaller than the sum of its proper divisors (23540915550).

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

13454147490 is a wasteful number, since it uses less digits than its factorization.

13454147490 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 160187.

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 13454147490 in words is "thirteen billion, four hundred fifty-four million, one hundred forty-seven thousand, four hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 401 802 1203 2005 2406 2807 4010 5614 6015 8421 12030 14035 16842 28070 42105 84210 159769 319538 479307 798845 958614 1118383 1597690 2236766 2396535 3355149 4793070 5591915 6710298 11183830 16775745 33551490 64067369 128134738 192202107 320336845 384404214 448471583 640673690 896943166 961010535 1345414749 1922021070 2242357915 2690829498 4484715830 6727073745 13454147490