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4354440156 = 22321119157571
BaseRepresentation
bin1000000111000101…
…10111101111011100
3102020110122110221100
410003202313233130
532404214041111
62000030433100
7212623062543
oct40342675734
912213573840
104354440156
111934a71380
12a16362790
135451a0911
142d445915a
151a7439756
hex1038b7bdc

4354440156 has 72 divisors (see below), whose sum is σ = 12070775808. Its totient is φ = 1312596000.

The previous prime is 4354440151. The next prime is 4354440173. The reversal of 4354440156 is 6510444534.

It is a super-2 number, since 2×43544401562 = 37922298144370608672, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 4354440156.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4354440151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46851 + ... + 104421.

It is an arithmetic number, because the mean of its divisors is an integer number (167649664).

Almost surely, 24354440156 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4354440156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6035387904).

4354440156 is an abundant number, since it is smaller than the sum of its proper divisors (7716335652).

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

4354440156 is a wasteful number, since it uses less digits than its factorization.

4354440156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57783 (or 57778 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The square root of 4354440156 is about 65988.1819419205. The cubic root of 4354440156 is about 1632.9671269886.

The spelling of 4354440156 in words is "four billion, three hundred fifty-four million, four hundred forty thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 191 198 382 396 573 764 1146 1719 2101 2292 3438 4202 6303 6876 8404 12606 18909 25212 37818 57571 75636 115142 172713 230284 345426 518139 633281 690852 1036278 1266562 1899843 2072556 2533124 3799686 5699529 7599372 10996061 11399058 21992122 22798116 32988183 43984244 65976366 98964549 120956671 131952732 197929098 241913342 362870013 395858196 483826684 725740026 1088610039 1451480052 2177220078 4354440156