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140230022330320 = 24513177931562349
BaseRepresentation
bin11111111000100111011000…
…101010101111011111010000
3200101111212012100211121220121
4133320213120222233133100
5121340012041204032240
61214124441035520024
741352166451604646
oct3770473052573720
9611455170747817
10140230022330320
11407552448a858a
12138896268b9014
136032832912970
14268b25278b196
151132a884eb04a
hex7f89d8aaf7d0

140230022330320 has 80 divisors (see below), whose sum is σ = 371768190469200. Its totient is φ = 48731519066112.

The previous prime is 140230022330317. The next prime is 140230022330369. The reversal of 140230022330320 is 23033220032041.

It can be written as a sum of positive squares in 8 ways, for example, as 8201281708944 + 132028740621376 = 2863788^2 + 11490376^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3965763495 + ... + 3965798854.

It is an arithmetic number, because the mean of its divisors is an integer number (4647102380865).

Almost surely, 2140230022330320 is an apocalyptic number.

140230022330320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140230022330320 is an abundant number, since it is smaller than the sum of its proper divisors (231538168138880).

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

140230022330320 is a wasteful number, since it uses less digits than its factorization.

140230022330320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7931562392 (or 7931562386 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 25.

Adding to 140230022330320 its reverse (23033220032041), we get a palindrome (163263242362361).

The spelling of 140230022330320 in words is "one hundred forty trillion, two hundred thirty billion, twenty-two million, three hundred thirty thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 17 20 26 34 40 52 65 68 80 85 104 130 136 170 208 221 260 272 340 442 520 680 884 1040 1105 1360 1768 2210 3536 4420 8840 17680 7931562349 15863124698 31726249396 39657811745 63452498792 79315623490 103110310537 126904997584 134836559933 158631246980 206220621074 269673119866 317262493960 412441242148 515551552685 539346239732 634524987920 674182799665 824882484296 1031103105370 1078692479464 1348365599330 1649764968592 1752875279129 2062206210740 2157384958928 2696731198660 3505750558258 4124412421480 5393462397320 7011501116516 8248824842960 8764376395645 10786924794640 14023002233032 17528752791290 28046004466064 35057505582580 70115011165160 140230022330320