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13143040240 = 24511193125357
BaseRepresentation
bin11000011110110001…
…01110000011110000
31020220221221121210011
430033120232003300
5203404104241430
610012100544304
7643460666401
oct141730560360
936827847704
1013143040240
1156349a3730
1226696b2094
131315c04ab5
148c97619a8
1551dca922a
hex30f62e0f0

13143040240 has 160 divisors (see below), whose sum is σ = 36223395840. Its totient is φ = 4381516800.

The previous prime is 13143040217. The next prime is 13143040247. The reversal of 13143040240 is 4204034131.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13143040247) 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, 505642 + ... + 530998.

It is an arithmetic number, because the mean of its divisors is an integer number (226396224).

Almost surely, 213143040240 is an apocalyptic number.

13143040240 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 13143040240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18111697920).

13143040240 is an abundant number, since it is smaller than the sum of its proper divisors (23080355600).

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

13143040240 is a wasteful number, since it uses less digits than its factorization.

13143040240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25431 (or 25425 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 13143040240 its reverse (4204034131), we get a palindrome (17347074371).

The spelling of 13143040240 in words is "thirteen billion, one hundred forty-three million, forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 31 38 40 44 55 62 76 80 88 95 110 124 152 155 176 190 209 220 248 304 310 341 380 418 440 496 589 620 682 760 836 880 1045 1178 1240 1364 1520 1672 1705 2090 2356 2480 2728 2945 3344 3410 4180 4712 5456 5890 6479 6820 8360 9424 11780 12958 13640 16720 23560 25357 25916 27280 32395 47120 50714 51832 64790 101428 103664 126785 129580 202856 253570 259160 278927 405712 481783 507140 518320 557854 786067 963566 1014280 1115708 1394635 1572134 1927132 2028560 2231416 2408915 2789270 3144268 3854264 3930335 4462832 4817830 5299613 5578540 6288536 7708528 7860670 8646737 9635660 10599226 11157080 12577072 14935273 15721340 17293474 19271320 21198452 22314160 26498065 29870546 31442680 34586948 38542640 42396904 43233685 52996130 59741092 62885360 69173896 74676365 84793808 86467370 105992260 119482184 138347792 149352730 164288003 172934740 211984520 238964368 298705460 328576006 345869480 423969040 597410920 657152012 691738960 821440015 1194821840 1314304024 1642880030 2628608048 3285760060 6571520120 13143040240