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1354044036320 = 25523821448169
BaseRepresentation
bin10011101101000011010…
…100000101010011100000
311210110000122201221202222
4103231003110011103200
5134141040233130240
62514012250530212
7166553321256443
oct23550324052340
94713018657688
101354044036320
11482279616618
1219a50a736968
139a8bb936661
144977101365a
152534d83ceb5
hex13b435054e0

1354044036320 has 96 divisors (see below), whose sum is σ = 3342086153280. Its totient is φ = 517436846080.

The previous prime is 1354044036271. The next prime is 1354044036403. The reversal of 1354044036320 is 236304404531.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2797196 + ... + 3245364.

It is an arithmetic number, because the mean of its divisors is an integer number (34813397430).

Almost surely, 21354044036320 is an apocalyptic number.

1354044036320 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 1354044036320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1671043076640).

1354044036320 is an abundant number, since it is smaller than the sum of its proper divisors (1988042116960).

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

1354044036320 is a wasteful number, since it uses less digits than its factorization.

1354044036320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 449028 (or 449020 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 35.

The spelling of 1354044036320 in words is "one trillion, three hundred fifty-four billion, forty-four million, thirty-six thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 821 920 1642 1840 3284 3680 4105 6568 8210 13136 16420 18883 26272 32840 37766 65680 75532 94415 131360 151064 188830 302128 377660 448169 604256 755320 896338 1510640 1792676 2240845 3021280 3585352 4481690 7170704 8963380 10307887 14341408 17926760 20615774 35853520 41231548 51539435 71707040 82463096 103078870 164926192 206157740 329852384 367946749 412315480 735893498 824630960 1471786996 1649261920 1839733745 2943573992 3679467490 5887147984 7358934980 8462775227 11774295968 14717869960 16925550454 29435739920 33851100908 42313876135 58871479840 67702201816 84627752270 135404403632 169255504540 270808807264 338511009080 677022018160 1354044036320