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2114332310442 = 23111914271181549
BaseRepresentation
bin11110110001001000000…
…001101011101110101010
321111010110110021000000110
4132301020001223232222
5234120123032413232
64255151051115150
7305520061052142
oct36611001535652
97433413230013
102114332310442
11745757517950
122a1931742ab6
131244c4484281
14744971ab922
1539eea5dcacc
hex1ec4806bbaa

2114332310442 has 64 divisors (see below), whose sum is σ = 4859289792000. Its totient is φ = 606559481280.

The previous prime is 2114332310417. The next prime is 2114332310473. The reversal of 2114332310442 is 2440132334112.

It is a super-2 number, since 2×21143323104422 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1198684 + ... + 2380232.

It is an arithmetic number, because the mean of its divisors is an integer number (75926403000).

Almost surely, 22114332310442 is an apocalyptic number.

2114332310442 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2114332310442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2429644896000).

2114332310442 is an abundant number, since it is smaller than the sum of its proper divisors (2744957481558).

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

2114332310442 is a wasteful number, since it uses less digits than its factorization.

2114332310442 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1183011.

The product of its (nonzero) digits is 13824, while the sum is 30.

Adding to 2114332310442 its reverse (2440132334112), we get a palindrome (4554464644554).

The spelling of 2114332310442 in words is "two trillion, one hundred fourteen billion, three hundred thirty-two million, three hundred ten thousand, four hundred forty-two".

Divisors: 1 2 3 6 11 19 22 33 38 57 66 114 209 418 627 1254 1427 2854 4281 8562 15697 27113 31394 47091 54226 81339 94182 162678 298243 596486 894729 1181549 1789458 2363098 3544647 7089294 12997039 22449431 25994078 38991117 44898862 67348293 77982234 134696586 246943741 493887482 740831223 1481662446 1686070423 3372140846 5058211269 10116422538 18546774653 32035338037 37093549306 55640323959 64070676074 96106014111 111280647918 192212028222 352388718407 704777436814 1057166155221 2114332310442