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15400122420 = 22352327141179
BaseRepresentation
bin11100101011110101…
…10011100000110100
31110202021001021110110
432111322303200310
5223014412404140
611024050023020
71053425611044
oct162572634064
943667037413
1015400122420
116592a70a01
122b99577a70
1315b5701297
14a6141b724
15601eee380
hex395eb3834

15400122420 has 96 divisors (see below), whose sum is σ = 45162270720. Its totient is φ = 3913557120.

The previous prime is 15400122407. The next prime is 15400122427. The reversal of 15400122420 is 2422100451.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15400122427) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 353391 + ... + 394569.

It is an arithmetic number, because the mean of its divisors is an integer number (470440320).

Almost surely, 215400122420 is an apocalyptic number.

15400122420 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 15400122420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22581135360).

15400122420 is an abundant number, since it is smaller than the sum of its proper divisors (29762148300).

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

15400122420 is a wasteful number, since it uses less digits than its factorization.

15400122420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41485 (or 41483 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

Adding to 15400122420 its reverse (2422100451), we get a palindrome (17822222871).

The spelling of 15400122420 in words is "fifteen billion, four hundred million, one hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 271 276 345 460 542 690 813 1084 1355 1380 1626 2710 3252 4065 5420 6233 8130 12466 16260 18699 24932 31165 37398 41179 62330 74796 82358 93495 123537 124660 164716 186990 205895 247074 373980 411790 494148 617685 823580 947117 1235370 1894234 2470740 2841351 3788468 4735585 5682702 9471170 11159509 11365404 14206755 18942340 22319018 28413510 33478527 44638036 55797545 56827020 66957054 111595090 133914108 167392635 223190180 256668707 334785270 513337414 669570540 770006121 1026674828 1283343535 1540012242 2566687070 3080024484 3850030605 5133374140 7700061210 15400122420