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340152250024244 = 227219442120660611
BaseRepresentation
bin100110101010111011101111…
…0000010000100000100110100
31122121101020102011011012001102
41031111313132002010010310
5324041023302001233434
63203235441510545232
7131435121565432400
oct11525673602040464
91577336364135042
10340152250024244
119942383942a209
1232197950368218
13117a52b1446808
145ddd657442100
15294d21995907e
hex1355dde084134

340152250024244 has 72 divisors (see below), whose sum is σ = 729062585586720. Its totient is φ = 138075683054400.

The previous prime is 340152250024211. The next prime is 340152250024271. The reversal of 340152250024244 is 442420052251043.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a junction number, because it is equal to n+sod(n) for n = 340152250024198 and 340152250024207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6133499 + ... + 26794109.

It is an arithmetic number, because the mean of its divisors is an integer number (10125869244260).

Almost surely, 2340152250024244 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 340152250024244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (364531292793360).

340152250024244 is an abundant number, since it is smaller than the sum of its proper divisors (388910335562476).

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

340152250024244 is a wasteful number, since it uses less digits than its factorization.

340152250024244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20665069 (or 20665060 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 38.

The spelling of 340152250024244 in words is "three hundred forty trillion, one hundred fifty-two billion, two hundred fifty million, twenty-four thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 19 28 38 49 76 98 133 196 266 532 931 1862 3724 4421 8842 17684 30947 61894 83999 123788 167998 216629 335996 433258 587993 866516 1175986 2351972 4115951 8231902 16463804 20660611 41321222 82642444 144624277 289248554 392551609 578497108 785103218 1012369939 1570206436 2024739878 2747861263 4049479756 5495722526 10991445052 19235028841 38470057682 76940115364 91340561231 182681122462 365362244924 639383928617 1278767857234 1735470663389 2557535714468 3470941326778 4475687500319 6941882653556 8951375000638 12148294643723 17902750001276 24296589287446 48593178574892 85038062506061 170076125012122 340152250024244