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13912520440 = 2357139194159
BaseRepresentation
bin11001111010100000…
…00011011011111000
31022220120212021011211
430331100003123320
5211443101123230
610220305332504
71001523321040
oct147520033370
938816767154
1013912520440
11599a289585
122843337134
131409460220
1495da24720
1556660342a
hex33d4036f8

13912520440 has 128 divisors (see below), whose sum is σ = 38578176000. Its totient is φ = 4397234688.

The previous prime is 13912520417. The next prime is 13912520443. The reversal of 13912520440 is 4402521931.

13912520440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13912520443) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 3343081 + ... + 3347239.

It is an arithmetic number, because the mean of its divisors is an integer number (301392000).

Almost surely, 213912520440 is an apocalyptic number.

13912520440 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 13912520440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19289088000).

13912520440 is an abundant number, since it is smaller than the sum of its proper divisors (24665655560).

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

13912520440 is a wasteful number, since it uses less digits than its factorization.

13912520440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5109 (or 5105 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 31.

The spelling of 13912520440 in words is "thirteen billion, nine hundred twelve million, five hundred twenty thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 20 26 28 35 40 52 56 65 70 91 104 130 140 182 260 280 364 455 520 728 910 919 1820 1838 3640 3676 4159 4595 6433 7352 8318 9190 11947 12866 16636 18380 20795 23894 25732 29113 32165 33272 36760 41590 47788 51464 54067 58226 59735 64330 83180 83629 95576 108134 116452 119470 128660 145565 166360 167258 216268 232904 238940 257320 270335 291130 334516 378469 418145 432536 477880 540670 582260 669032 756938 836290 1081340 1164520 1513876 1672580 1892345 2162680 3027752 3345160 3784690 3822121 7569380 7644242 15138760 15288484 19110605 26754847 30576968 38221210 49687573 53509694 76442420 99375146 107019388 133774235 152884840 198750292 214038776 248437865 267548470 347813011 397500584 496875730 535096940 695626022 993751460 1070193880 1391252044 1739065055 1987502920 2782504088 3478130110 6956260220 13912520440