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140012012010400 = 25521634910704937
BaseRepresentation
bin11111110101011100010110…
…001111010111101110100000
3200100202000110211221220010021
4133311130112033113232200
5121322424100033313100
61213440344054043224
741330351115504415
oct3765342617275640
9610660424856107
10140012012010400
1140680840746472
1213853323649514
1360180cb1bbb6a
14268089075410c
15112c078d30a1a
hex7f57163d7ba0

140012012010400 has 72 divisors (see below), whose sum is σ = 341825262993900. Its totient is φ = 56001373992960.

The previous prime is 140012012010391. The next prime is 140012012010443. The reversal of 140012012010400 is 4010210210041.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 40240601228304 + 99771410782096 = 6343548^2 + 9988564^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 7726732 + ... + 18431668.

Almost surely, 2140012012010400 is an apocalyptic number.

140012012010400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140012012010400 is an abundant number, since it is smaller than the sum of its proper divisors (201813250983500).

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

140012012010400 is a wasteful number, since it uses less digits than its factorization.

140012012010400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10721306 (or 10721293 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 140012012010400 its reverse (4010210210041), we get a palindrome (144022222220441).

The spelling of 140012012010400 in words is "one hundred forty trillion, twelve billion, twelve million, ten thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 16349 32698 65396 81745 130792 163490 261584 326980 408725 523168 653960 817450 1307920 1634900 2615840 3269800 6539600 10704937 13079200 21409874 42819748 53524685 85639496 107049370 171278992 214098740 267623425 342557984 428197480 535246850 856394960 1070493700 1712789920 2140987400 4281974800 8563949600 175015015013 350030030026 700060060052 875075075065 1400120120104 1750150150130 2800240240208 3500300300260 4375375375325 5600480480416 7000600600520 8750750750650 14001201201040 17501501501300 28002402402080 35003003002600 70006006005200 140012012010400