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1441407672 = 2332131152821
BaseRepresentation
bin101010111101010…
…0010001010111000
310201110021002121100
41111322202022320
510423000021142
6355010211400
750501522505
oct12572421270
93643232540
101441407672
1167a700a11
12342883b60
1319c818c63
14d96104ac
1586823b4c
hex55ea22b8

1441407672 has 48 divisors (see below), whose sum is σ = 3933638280. Its totient is φ = 476798400.

The previous prime is 1441407641. The next prime is 1441407691. The reversal of 1441407672 is 2767041441.

It is a happy number.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66979 + ... + 85842.

Almost surely, 21441407672 is an apocalyptic number.

1441407672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1441407672 is an abundant number, since it is smaller than the sum of its proper divisors (2492230608).

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

1441407672 is a wasteful number, since it uses less digits than its factorization.

1441407672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152964 (or 152957 counting only the distinct ones).

The product of its (nonzero) digits is 37632, while the sum is 36.

The square root of 1441407672 is about 37965.8750985671. The cubic root of 1441407672 is about 1129.6110787293.

The spelling of 1441407672 in words is "one billion, four hundred forty-one million, four hundred seven thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 131 262 393 524 786 1048 1179 1572 2358 3144 4716 9432 152821 305642 458463 611284 916926 1222568 1375389 1833852 2750778 3667704 5501556 11003112 20019551 40039102 60058653 80078204 120117306 160156408 180175959 240234612 360351918 480469224 720703836 1441407672