Search a number
-
+
1401347472 = 243723716103
BaseRepresentation
bin101001110000110…
…1101110110010000
310121122212211100020
41103201231312100
510332221104342
6351015423440
746504154100
oct12341556620
93548784306
101401347472
1165a02a108
12331384b80
13194430bb5
14d4183200
158305e0ec
hex5386dd90

1401347472 has 120 divisors (see below), whose sum is σ = 4325276736. Its totient is φ = 389539584.

The previous prime is 1401347461. The next prime is 1401347501. The reversal of 1401347472 is 2747431041.

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 78973 + ... + 95075.

Almost surely, 21401347472 is an apocalyptic number.

1401347472 is a gapful number since it is divisible by the number (12) 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 1401347472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2162638368).

1401347472 is an abundant number, since it is smaller than the sum of its proper divisors (2923929264).

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

1401347472 is a wasteful number, since it uses less digits than its factorization.

1401347472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16165 (or 16152 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 1401347472 is about 37434.5758891429. The cubic root of 1401347472 is about 1119.0477322409.

The spelling of 1401347472 in words is "one billion, four hundred one million, three hundred forty-seven thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 37 42 48 49 56 74 84 98 111 112 147 148 168 196 222 259 294 296 336 392 444 518 588 592 777 784 888 1036 1176 1554 1776 1813 2072 2352 3108 3626 4144 5439 6216 7252 10878 12432 14504 16103 21756 29008 32206 43512 48309 64412 87024 96618 112721 128824 193236 225442 257648 338163 386472 450884 595811 676326 772944 789047 901768 1191622 1352652 1578094 1787433 1803536 2367141 2383244 2705304 3156188 3574866 4170677 4734282 4766488 5410608 6312376 7149732 8341354 9468564 9532976 12512031 12624752 14299464 16682708 18937128 25024062 28598928 29194739 33365416 37874256 50048124 58389478 66730832 87584217 100096248 116778956 175168434 200192496 233557912 350336868 467115824 700673736 1401347472