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142230030432 = 2537297298339
BaseRepresentation
bin1000010001110110010…
…0100000100001100000
3111121010020220011101220
42010131210200201200
54312241341433212
6145201203055040
713163410211520
oct2043544404140
9447106804356
10142230030432
1155357164aa6
1223694671480
13105488a9429
146c53885680
153a768c138c
hex211d920860

142230030432 has 96 divisors (see below), whose sum is σ = 441403603200. Its totient is φ = 39235865088.

The previous prime is 142230030391. The next prime is 142230030433. The reversal of 142230030432 is 234030032241.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1422300304322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (142230030433) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3629682 + ... + 3668657.

It is an arithmetic number, because the mean of its divisors is an integer number (4597954200).

Almost surely, 2142230030432 is an apocalyptic number.

142230030432 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

142230030432 is an abundant number, since it is smaller than the sum of its proper divisors (299173572768).

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

142230030432 is a wasteful number, since it uses less digits than its factorization.

142230030432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7298388 (or 7298380 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 142230030432 its reverse (234030032241), we get a palindrome (376260062673).

The spelling of 142230030432 in words is "one hundred forty-two billion, two hundred thirty million, thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 32 42 48 56 58 84 87 96 112 116 168 174 203 224 232 336 348 406 464 609 672 696 812 928 1218 1392 1624 2436 2784 3248 4872 6496 9744 19488 7298339 14596678 21895017 29193356 43790034 51088373 58386712 87580068 102176746 116773424 153265119 175160136 204353492 211651831 233546848 306530238 350320272 408706984 423303662 613060476 634955493 700640544 817413968 846607324 1226120952 1269910986 1481562817 1634827936 1693214648 2452241904 2539821972 2963125634 3386429296 4444688451 4904483808 5079643944 5926251268 6772858592 8889376902 10159287888 11852502536 17778753804 20318575776 23705005072 35557507608 47410010144 71115015216 142230030432