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15400121440 = 255118750069
BaseRepresentation
bin11100101011110101…
…10011010001100000
31110202021001020010011
432111322303101200
5223014412341230
611024050014304
71053425605144
oct162572632140
943667036104
1015400121440
116592a701a0
122b99577394
1315b57009c2
14a6141b224
15601eede2a
hex395eb3460

15400121440 has 48 divisors (see below), whose sum is σ = 39690317520. Its totient is φ = 5600043520.

The previous prime is 15400121423. The next prime is 15400121461. The reversal of 15400121440 is 4412100451.

15400121440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4373275 + ... + 4376794.

It is an arithmetic number, because the mean of its divisors is an integer number (826881615).

Almost surely, 215400121440 is an apocalyptic number.

15400121440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

15400121440 is an abundant number, since it is smaller than the sum of its proper divisors (24290196080).

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

15400121440 is a wasteful number, since it uses less digits than its factorization.

15400121440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8750095 (or 8750087 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 15400121440 its reverse (4412100451), we get a palindrome (19812221891).

The spelling of 15400121440 in words is "fifteen billion, four hundred million, one hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 80 88 110 160 176 220 352 440 880 1760 8750069 17500138 35000276 43750345 70000552 87500690 96250759 140001104 175001380 192501518 280002208 350002760 385003036 481253795 700005520 770006072 962507590 1400011040 1540012144 1925015180 3080024288 3850030360 7700060720 15400121440