Search a number
-
+
344140255353440 = 25571323636006549
BaseRepresentation
bin100111000111111100110010…
…1101011000101101001100000
31200010111111011002202110220202
41032033321211223011221200
5330101343220332302230
63215531503433324332
7132326212225426010
oct11617714553055140
91603444132673822
10344140255353440
119a72107647a0a7
123272082b2666a8
1311a043962252b0
1460da69774dc40
1529bbd27897a45
hex138fe65ac5a60

344140255353440 has 96 divisors (see below), whose sum is σ = 1000653973300800. Its totient is φ = 108914718173184.

The previous prime is 344140255353371. The next prime is 344140255353443. The reversal of 344140255353440 is 44353552041443.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (344140255353443) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11817988715 + ... + 11818017834.

It is an arithmetic number, because the mean of its divisors is an integer number (10423478888550).

Almost surely, 2344140255353440 is an apocalyptic number.

It is an amenable number.

344140255353440 is an abundant number, since it is smaller than the sum of its proper divisors (656513717947360).

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

344140255353440 is a wasteful number, since it uses less digits than its factorization.

344140255353440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23636006584 (or 23636006576 counting only the distinct ones).

The product of its (nonzero) digits is 6912000, while the sum is 47.

The spelling of 344140255353440 in words is "three hundred forty-four trillion, one hundred forty billion, two hundred fifty-five million, three hundred fifty-three thousand, four hundred forty".

Divisors: 1 2 4 5 7 8 10 13 14 16 20 26 28 32 35 40 52 56 65 70 80 91 104 112 130 140 160 182 208 224 260 280 364 416 455 520 560 728 910 1040 1120 1456 1820 2080 2912 3640 7280 14560 23636006549 47272013098 94544026196 118180032745 165452045843 189088052392 236360065490 307268085137 330904091686 378176104784 472720130980 614536170274 661808183372 756352209568 827260229215 945440261960 1229072340548 1323616366744 1536340425685 1654520458430 1890880523920 2150876595959 2458144681096 2647232733488 3072680851370 3309040916860 3781761047840 4301753191918 4916289362192 5294465466976 6145361702740 6618081833720 8603506383836 9832578724384 10754382979795 12290723405480 13236163667440 17207012767672 21508765959590 24581446810960 26472327334880 34414025535344 43017531919180 49162893621920 68828051070688 86035063838360 172070127676720 344140255353440