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142300301440 = 27511106119051
BaseRepresentation
bin1000010010000111000…
…0100100100010000000
3111121022011010022002211
42010201300210202000
54312412334121230
6145212153151504
713165222414333
oct2044160444200
9447264108084
10142300301440
11553928a0710
12236b40bb594
131055a3113cb
146c5cd3861a
153a7cb5242a
hex2121c24880

142300301440 has 128 divisors (see below), whose sum is σ = 371481992640. Its totient is φ = 51694080000.

The previous prime is 142300301359. The next prime is 142300301443. The reversal of 142300301440 is 44103003241.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (142300301443) 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, 7459915 + ... + 7478965.

Almost surely, 2142300301440 is an apocalyptic number.

142300301440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 142300301440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185740996320).

142300301440 is an abundant number, since it is smaller than the sum of its proper divisors (229181691200).

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

142300301440 is a wasteful number, since it uses less digits than its factorization.

142300301440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20142 (or 20130 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 22.

Adding to 142300301440 its reverse (44103003241), we get a palindrome (186403304681).

The spelling of 142300301440 in words is "one hundred forty-two billion, three hundred million, three hundred one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1061 1408 1760 2122 3520 4244 5305 7040 8488 10610 11671 16976 19051 21220 23342 33952 38102 42440 46684 58355 67904 76204 84880 93368 95255 116710 135808 152408 169760 186736 190510 209561 233420 304816 339520 373472 381020 419122 466840 609632 679040 746944 762040 838244 933680 1047805 1219264 1493888 1524080 1676488 1867360 2095610 2438528 3048160 3352976 3734720 4191220 6096320 6705952 7469440 8382440 12192640 13411904 16764880 20213111 26823808 33529760 40426222 67059520 80852444 101065555 134119040 161704888 202131110 222344221 323409776 404262220 444688442 646819552 808524440 889376884 1111721105 1293639104 1617048880 1778753768 2223442210 2587278208 3234097760 3557507536 4446884420 6468195520 7115015072 8893768840 12936391040 14230030144 17787537680 28460060288 35575075360 71150150720 142300301440