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1401249696 = 253711219907
BaseRepresentation
bin101001110000101…
…0101111110100000
310121122200212012220
41103201111332200
510332204442241
6351013351040
746503266040
oct12341257640
93548625186
101401249696
11659a72700
12331338480
131943c8542
14d4159720
1583040166
hex53855fa0

1401249696 has 288 divisors, whose sum is σ = 4869204480. Its totient is φ = 344424960.

The previous prime is 1401249683. The next prime is 1401249697. The reversal of 1401249696 is 6969421041.

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 (1401249697) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1544475 + ... + 1545381.

It is an arithmetic number, because the mean of its divisors is an integer number (16906960).

Almost surely, 21401249696 is an apocalyptic number.

1401249696 is a gapful number since it is divisible by the number (16) 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 1401249696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2434602240).

1401249696 is an abundant number, since it is smaller than the sum of its proper divisors (3467954784).

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

1401249696 is a wasteful number, since it uses less digits than its factorization.

1401249696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 968 (or 949 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 42.

The square root of 1401249696 is about 37433.2699079308. The cubic root of 1401249696 is about 1119.0217052542.

The spelling of 1401249696 in words is "one billion, four hundred one million, two hundred forty-nine thousand, six hundred ninety-six".