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714756020344440 = 2335151297411326307
BaseRepresentation
bin1010001010000100010001101…
…0101100011001011001111000
310110201202000012222210102010020
42202201010122230121121320
51222141030312202010230
611012054214402050440
7303360263332023054
oct24241043254313170
93421660188712106
10714756020344440
1119781a364919318
12681b8609049a20
13248a9285153339
14c87053992ac64
15579769eadd810
hex28a111ab19678

714756020344440 has 128 divisors (see below), whose sum is σ = 2158542714769920. Its totient is φ = 189332834112000.

The previous prime is 714756020344363. The next prime is 714756020344441. The reversal of 714756020344440 is 44443020657417.

It is a super-3 number, since 3×7147560203444403 (a number of 46 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (714756020344441) 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, 538243767 + ... + 539570073.

It is an arithmetic number, because the mean of its divisors is an integer number (16863614959140).

Almost surely, 2714756020344440 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 714756020344440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1079271357384960).

714756020344440 is an abundant number, since it is smaller than the sum of its proper divisors (1443786694425480).

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

714756020344440 is a wasteful number, since it uses less digits than its factorization.

714756020344440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1356213 (or 1356209 counting only the distinct ones).

The product of its (nonzero) digits is 9031680, while the sum is 51.

The spelling of 714756020344440 in words is "seven hundred fourteen trillion, seven hundred fifty-six billion, twenty million, three hundred forty-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 151 302 453 604 755 906 1208 1510 1812 2265 3020 3624 4530 6040 9060 18120 29741 59482 89223 118964 148705 178446 237928 297410 356892 446115 594820 713784 892230 1189640 1326307 1784460 2652614 3568920 3978921 4490891 5305228 6631535 7957842 8981782 10610456 13263070 13472673 15915684 17963564 19894605 22454455 26526140 26945346 31831368 35927128 39789210 44908910 53052280 53890692 67363365 79578420 89817820 107781384 134726730 159156840 179635640 200272357 269453460 400544714 538906920 600817071 801089428 1001361785 1201634142 1602178856 2002723570 2403268284 3004085355 4005447140 4806536568 6008170710 8010894280 12016341420 24032682840 39445696487 78891392974 118337089461 157782785948 197228482435 236674178922 315565571896 394456964870 473348357844 591685447305 788913929740 946696715688 1183370894610 1577827859480 2366741789220 4733483578440 5956300169537 11912600339074 17868900508611 23825200678148 29781500847685 35737801017222 47650401356296 59563001695370 71475602034444 89344502543055 119126003390740 142951204068888 178689005086110 238252006781480 357378010172220 714756020344440