Search a number
-
+
2342115942030 = 23652631221589
BaseRepresentation
bin100010000101010000111…
…111010001111010001110
322021220102002100102000000
4202011100333101322032
5301333123140121110
64551541520545130
7331132550013414
oct42052077217216
98256362312000
102342115942030
11823316432747
12319b01a821a6
1313cb25925727
14815051d92b4
1540dcccd91c0
hex22150fd1e8e

2342115942030 has 112 divisors (see below), whose sum is σ = 6344860278240. Its totient is φ = 622188972864.

The previous prime is 2342115942013. The next prime is 2342115942031. The reversal of 2342115942030 is 302495112432.

2342115942030 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 11 + 594 + 20 + 30 = 666.

It is a super-2 number, since 2×23421159420302 (a number of 26 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2342115942031) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1306476 + ... + 2528064.

Almost surely, 22342115942030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2342115942030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3172430139120).

2342115942030 is an abundant number, since it is smaller than the sum of its proper divisors (4002744336210).

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

2342115942030 is a wasteful number, since it uses less digits than its factorization.

2342115942030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1221877 (or 1221862 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 2342115942030 in words is "two trillion, three hundred forty-two billion, one hundred fifteen million, nine hundred forty-two thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 54 81 90 135 162 243 263 270 405 486 526 729 789 810 1215 1315 1458 1578 2367 2430 2630 3645 3945 4734 7101 7290 7890 11835 14202 21303 23670 35505 42606 63909 71010 106515 127818 191727 213030 319545 383454 639090 958635 1221589 1917270 2443178 3664767 6107945 7329534 10994301 12215890 18323835 21988602 32982903 36647670 54971505 65965806 98948709 109943010 164914515 197897418 296846127 321277907 329829030 494743545 593692254 642555814 890538381 963833721 989487090 1484230635 1606389535 1781076762 1927667442 2891501163 2968461270 3212779070 4452691905 4819168605 5783002326 8674503489 8905383810 9638337210 14457505815 17349006978 26023510467 28915011630 43372517445 52047020934 78070531401 86745034890 130117552335 156141062802 234211594203 260235104670 390352657005 468423188406 780705314010 1171057971015 2342115942030