Search a number
-
+
154010420004 = 223721567167149
BaseRepresentation
bin1000111101101110111…
…1001000001100100100
3112201112020202221212210
42033123233020030210
510010403131420004
6154430145443420
714061343653600
oct2173357101444
9481466687783
10154010420004
115a35195a051
1225a21940570
13116a53ab94c
147650258500
154015c12089
hex23dbbc8324

154010420004 has 72 divisors (see below), whose sum is σ = 418297555200. Its totient is φ = 43974633024.

The previous prime is 154010419961. The next prime is 154010420027. The reversal of 154010420004 is 400024010451.

It is a happy number.

154010420004 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 837822 + ... + 1004970.

Almost surely, 2154010420004 is an apocalyptic number.

154010420004 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 154010420004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209148777600).

154010420004 is an abundant number, since it is smaller than the sum of its proper divisors (264287135196).

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

154010420004 is a wasteful number, since it uses less digits than its factorization.

154010420004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168737 (or 168728 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 154010420004 its reverse (400024010451), we get a palindrome (554034430455).

The spelling of 154010420004 in words is "one hundred fifty-four billion, ten million, four hundred twenty thousand, four".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 196 294 588 1567 3134 4701 6268 9402 10969 18804 21938 32907 43876 65814 76783 131628 153566 167149 230349 307132 334298 460698 501447 668596 921396 1002894 1170043 2005788 2340086 3510129 4680172 7020258 8190301 14040516 16380602 24570903 32761204 49141806 98283612 261922483 523844966 785767449 1047689932 1571534898 1833457381 3143069796 3666914762 5500372143 7333829524 11000744286 12834201667 22001488572 25668403334 38502605001 51336806668 77005210002 154010420004