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356140024542 = 2321941177714293
BaseRepresentation
bin1010010111010111001…
…10011000001011011110
31021001021000021202121100
411023223212120023132
521313333321241132
6431335232413530
734505324155311
oct5135346301336
91231230252540
10356140024542
111280468396a5
12590326a72a6
1327778982943
14133470d0978
1593e60ea37c
hex52eb9982de

356140024542 has 96 divisors (see below), whose sum is σ = 832586620320. Its totient is φ = 109652797440.

The previous prime is 356140024531. The next prime is 356140024613. The reversal of 356140024542 is 245420041653.

356140024542 is a `hidden beast` number, since 3 + 5 + 6 + 1 + 400 + 245 + 4 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 356140024497 and 356140024506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 24909948 + ... + 24924240.

It is an arithmetic number, because the mean of its divisors is an integer number (8672777295).

Almost surely, 2356140024542 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 356140024542, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416293310160).

356140024542 is an abundant number, since it is smaller than the sum of its proper divisors (476446595778).

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

356140024542 is a wasteful number, since it uses less digits than its factorization.

356140024542 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16138 (or 16135 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 356140024542 in words is "three hundred fifty-six billion, one hundred forty million, twenty-four thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 19 38 41 57 82 114 123 171 246 342 369 738 779 1558 1777 2337 3554 4674 5331 7011 10662 14022 14293 15993 28586 31986 33763 42879 67526 72857 85758 101289 128637 145714 202578 218571 257274 271567 303867 437142 543134 586013 607734 655713 814701 1172026 1311426 1384283 1629402 1758039 2444103 2768566 3516078 4152849 4888206 5274117 8305698 10548234 11134247 12458547 22268494 24917094 25398661 33402741 50797322 66805482 76195983 100208223 152391966 200416446 228587949 457175898 482574559 965149118 1041345101 1447723677 2082690202 2895447354 3124035303 4343171031 6248070606 8686342062 9372105909 18744211818 19785556919 39571113838 59356670757 118713341514 178070012271 356140024542