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20132431440 = 24351143177347
BaseRepresentation
bin10010101111111111…
…001000011001010000
31220222001201111000220
4102233333020121100
5312212400301230
613125415513040
71311620562252
oct225777103120
956861644026
1020132431440
1185a12617a0
123a9a388780
131b8ac65034
14d8db19cd2
157cc6c9d10
hex4affc8650

20132431440 has 160 divisors (see below), whose sum is σ = 69667969536. Its totient is φ = 4767060480.

The previous prime is 20132431427. The next prime is 20132431469. The reversal of 20132431440 is 4413423102.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 20132431440.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24847 + ... + 202193.

Almost surely, 220132431440 is an apocalyptic number.

20132431440 is a gapful number since it is divisible by the number (20) 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 20132431440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34833984768).

20132431440 is an abundant number, since it is smaller than the sum of its proper divisors (49535538096).

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

20132431440 is a wasteful number, since it uses less digits than its factorization.

20132431440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 177417 (or 177411 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 20132431440 its reverse (4413423102), we get a palindrome (24545854542).

The spelling of 20132431440 in words is "twenty billion, one hundred thirty-two million, four hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 43 44 48 55 60 66 80 86 88 110 120 129 132 165 172 176 215 220 240 258 264 330 344 430 440 473 516 528 645 660 688 860 880 946 1032 1290 1320 1419 1720 1892 2064 2365 2580 2640 2838 3440 3784 4730 5160 5676 7095 7568 9460 10320 11352 14190 18920 22704 28380 37840 56760 113520 177347 354694 532041 709388 886735 1064082 1418776 1773470 1950817 2128164 2660205 2837552 3546940 3901634 4256328 5320410 5852451 7093880 7625921 7803268 8512656 9754085 10640820 11704902 14187760 15251842 15606536 19508170 21281640 22877763 23409804 29262255 30503684 31213072 38129605 39016340 42563280 45755526 46819608 58524510 61007368 76259210 78032680 83885131 91511052 93639216 114388815 117049020 122014736 152518420 156065360 167770262 183022104 228777630 234098040 251655393 305036840 335540524 366044208 419425655 457555260 468196080 503310786 610073680 671081048 838851310 915110520 1006621572 1258276965 1342162096 1677702620 1830221040 2013243144 2516553930 3355405240 4026486288 5033107860 6710810480 10066215720 20132431440