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11423616240 = 2435198113089
BaseRepresentation
bin10101010001110011…
…01000110011110000
31002111010112211110210
422220321220303300
5141343421204430
65125315424120
7553042064421
oct125071506360
932433484423
1011423616240
114932373a63
1222698b5040
13110091734a
147a5261648
1546cd6a2b0
hex2a8e68cf0

11423616240 has 160 divisors (see below), whose sum is σ = 37335110400. Its totient is φ = 2881474560.

The previous prime is 11423616233. The next prime is 11423616247. The reversal of 11423616240 is 4261632411.

It is an interprime number because it is at equal distance from previous prime (11423616233) and next prime (11423616247).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 11423616198 and 11423616207.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11423616247) 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, 3696616 + ... + 3699704.

It is an arithmetic number, because the mean of its divisors is an integer number (233344440).

Almost surely, 211423616240 is an apocalyptic number.

11423616240 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 11423616240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18667555200).

11423616240 is an abundant number, since it is smaller than the sum of its proper divisors (25911494160).

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

11423616240 is a wasteful number, since it uses less digits than its factorization.

11423616240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3935 (or 3929 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 30.

The spelling of 11423616240 in words is "eleven billion, four hundred twenty-three million, six hundred sixteen thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 811 912 1140 1520 1622 2280 2433 3089 3244 4055 4560 4866 6178 6488 8110 9267 9732 12165 12356 12976 15409 15445 16220 18534 19464 24330 24712 30818 30890 32440 37068 38928 46227 46335 48660 49424 58691 61636 61780 64880 74136 77045 92454 92670 97320 117382 123272 123560 148272 154090 176073 184908 185340 194640 231135 234764 246544 247120 293455 308180 352146 369816 370680 462270 469528 586910 616360 704292 739632 741360 880365 924540 939056 1173820 1232720 1408584 1760730 1849080 2347640 2505179 2817168 3521460 3698160 4695280 5010358 7042920 7515537 10020716 12525895 14085840 15031074 20041432 25051790 30062148 37577685 40082864 47598401 50103580 60124296 75155370 95196802 100207160 120248592 142795203 150310740 190393604 200414320 237992005 285590406 300621480 380787208 475984010 571180812 601242960 713976015 761574416 951968020 1142361624 1427952030 1903936040 2284723248 2855904060 3807872080 5711808120 11423616240