Search a number
-
+
1400022024000 = 26353106354877
BaseRepresentation
bin10100010111110111110…
…100001011111101000000
311221211200221102201201120
4110113313310023331000
5140414221114232000
62551054454432240
7203101564565655
oct24276764137500
94854627381646
101400022024000
1149a822a30246
121a7400662680
13a2038348622
144ba934ddc2c
15266400606a0
hex145f7d0bf40

1400022024000 has 224 divisors, whose sum is σ = 4627305935616. Its totient is φ = 372981196800.

The previous prime is 1400022023989. The next prime is 1400022024017. The reversal of 1400022024000 is 4202200041.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25484562 + ... + 25539438.

It is an arithmetic number, because the mean of its divisors is an integer number (20657615784).

Almost surely, 21400022024000 is an apocalyptic number.

1400022024000 is a gapful number since it is divisible by the number (10) 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 1400022024000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2313652967808).

1400022024000 is an abundant number, since it is smaller than the sum of its proper divisors (3227283911616).

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

1400022024000 is a wasteful number, since it uses less digits than its factorization.

1400022024000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55970 (or 55950 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 1400022024000 its reverse (4202200041), we get a palindrome (1404224224041).

The spelling of 1400022024000 in words is "one trillion, four hundred billion, twenty-two million, twenty-four thousand".