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140032132414344 = 233261317100578721
BaseRepresentation
bin11111110101101111000101…
…100000100111101110001000
3200100210221102002001022112100
4133311233011200213232020
5121323241301344224334
61213453512404113400
741331662532224262
oct3765570540475610
9610727362038470
10140032132414344
1140689326132785
12138571b9995860
136019c86802521
14268183ca1cb32
15112c855431c99
hex7f5bc5827b88

140032132414344 has 96 divisors (see below), whose sum is σ = 386686966175640. Its totient is φ = 45767340748800.

The previous prime is 140032132414331. The next prime is 140032132414357. The reversal of 140032132414344 is 443414231230041.

140032132414344 is a `hidden beast` number, since 1 + 4 + 0 + 0 + 3 + 213 + 2 + 4 + 1 + 434 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (140032132414331) and next prime (140032132414357).

It can be written as a sum of positive squares in 4 ways, for example, as 24758884188900 + 115273248225444 = 4975830^2 + 10736538^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 140032132414299 and 140032132414308.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 48897097 + ... + 51681624.

Almost surely, 2140032132414344 is an apocalyptic number.

It is an amenable number.

140032132414344 is an abundant number, since it is smaller than the sum of its proper divisors (246654833761296).

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

140032132414344 is a wasteful number, since it uses less digits than its factorization.

140032132414344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100579111 (or 100579104 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 36.

Adding to 140032132414344 its reverse (443414231230041), we get a palindrome (583446363644385).

The spelling of 140032132414344 in words is "one hundred forty trillion, thirty-two billion, one hundred thirty-two million, four hundred fourteen thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 61 72 122 183 244 317 366 488 549 634 732 951 1098 1268 1464 1902 2196 2536 2853 3804 4392 5706 7608 11412 19337 22824 38674 58011 77348 116022 154696 174033 232044 348066 464088 696132 1392264 100578721 201157442 301736163 402314884 603472326 804629768 905208489 1206944652 1810416978 2413889304 3620833956 6135301981 7241667912 12270603962 18405905943 24541207924 31883454557 36811811886 49082415848 55217717829 63766909114 73623623772 95650363671 110435435658 127533818228 147247247544 191300727342 220870871316 255067636456 286951091013 382601454684 441741742632 573902182026 765202909368 1147804364052 1944890727977 2295608728104 3889781455954 5834672183931 7779562911908 11669344367862 15559125823816 17504016551793 23338688735724 35008033103586 46677377471448 70016066207172 140032132414344