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141764893440 = 283571519971
BaseRepresentation
bin1000010000000111011…
…0001001101100000000
3111112220211122202101220
42010001312021230000
54310313303042230
6145043105355040
713146031466142
oct2040166115400
9445824582356
10141764893440
115513864a765
1223584938a80
13104a340c941
146c0bba6c92
153a4ab42d10
hex2101d89b00

141764893440 has 144 divisors (see below), whose sum is σ = 459139435776. Its totient is φ = 37271449600.

The previous prime is 141764893421. The next prime is 141764893451. The reversal of 141764893440 is 44398467141.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12655 + ... + 532625.

It is an arithmetic number, because the mean of its divisors is an integer number (3188468304).

Almost surely, 2141764893440 is an apocalyptic number.

141764893440 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 141764893440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229569717888).

141764893440 is an abundant number, since it is smaller than the sum of its proper divisors (317374542336).

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

141764893440 is an equidigital number, since it uses as much as digits as its factorization.

141764893440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 520066 (or 520052 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 51.

The spelling of 141764893440 in words is "one hundred forty-one billion, seven hundred sixty-four million, eight hundred ninety-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 71 80 96 120 128 142 160 192 213 240 256 284 320 355 384 426 480 568 640 710 768 852 960 1065 1136 1280 1420 1704 1920 2130 2272 2840 3408 3840 4260 4544 5680 6816 8520 9088 11360 13632 17040 18176 22720 27264 34080 45440 54528 68160 90880 136320 272640 519971 1039942 1559913 2079884 2599855 3119826 4159768 5199710 6239652 7799565 8319536 10399420 12479304 15599130 16639072 20798840 24958608 31198260 33278144 36917941 41597680 49917216 62396520 66556288 73835882 83195360 99834432 110753823 124793040 133112576 147671764 166390720 184589705 199668864 221507646 249586080 295343528 332781440 369179410 399337728 443015292 499172160 553769115 590687056 665562880 738358820 886030584 998344320 1107538230 1181374112 1476717640 1772061168 1996688640 2215076460 2362748224 2953435280 3544122336 4430152920 4725496448 5906870560 7088244672 8860305840 9450992896 11813741120 14176489344 17720611680 23627482240 28352978688 35441223360 47254964480 70882446720 141764893440