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11401131420 = 22325731328909
BaseRepresentation
bin10101001111000111…
…10111010110011100
31002102120020111002200
422213203313112130
5141322142201140
65123153451500
7552350006130
oct124743672634
932376214080
1011401131420
114920706868
122262270b90
1310c9073c13
147a228b3c0
1546adc8030
hex2a78f759c

11401131420 has 144 divisors (see below), whose sum is σ = 39651568320. Its totient is φ = 2597557248.

The previous prime is 11401131397. The next prime is 11401131421. The reversal of 11401131420 is 2413110411.

11401131420 is a `hidden beast` number, since 114 + 0 + 1 + 131 + 420 = 666.

It is a super-2 number, since 2×114011314202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11401131393 and 11401131402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11401131421) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 379926 + ... + 408834.

Almost surely, 211401131420 is an apocalyptic number.

11401131420 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 11401131420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19825784160).

11401131420 is an abundant number, since it is smaller than the sum of its proper divisors (28250436900).

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

11401131420 is a wasteful number, since it uses less digits than its factorization.

11401131420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29244 (or 29239 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 18.

Adding to 11401131420 its reverse (2413110411), we get a palindrome (13814241831).

The spelling of 11401131420 in words is "eleven billion, four hundred one million, one hundred thirty-one thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 313 315 420 626 630 939 1252 1260 1565 1878 2191 2817 3130 3756 4382 4695 5634 6260 6573 8764 9390 10955 11268 13146 14085 18780 19719 21910 26292 28170 28909 32865 39438 43820 56340 57818 65730 78876 86727 98595 115636 131460 144545 173454 197190 202363 260181 289090 346908 394380 404726 433635 520362 578180 607089 809452 867270 1011815 1040724 1214178 1300905 1734540 1821267 2023630 2428356 2601810 3035445 3642534 4047260 5203620 6070890 7285068 9048517 9106335 12141780 18097034 18212670 27145551 36194068 36425340 45242585 54291102 63339619 81436653 90485170 108582204 126679238 135727755 162873306 180970340 190018857 253358476 271455510 316698095 325746612 380037714 407183265 542911020 570056571 633396190 760075428 814366530 950094285 1140113142 1266792380 1628733060 1900188570 2280226284 2850282855 3800377140 5700565710 11401131420