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140305349960 = 23517212179973
BaseRepresentation
bin1000001010101011011…
…0011011110101001000
3111102011010021021010222
42002222312123311020
54244321132144320
6144242210325212
713064616540266
oct2025266336510
9442133237128
10140305349960
1154559792086
1223237b89808
13102ccc13c49
146b0ddd5436
1539b293a825
hex20aad9bd48

140305349960 has 96 divisors (see below), whose sum is σ = 335658413160. Its totient is φ = 52772143104.

The previous prime is 140305349959. The next prime is 140305349969. The reversal of 140305349960 is 69943503041.

It can be written as a sum of positive squares in 12 ways, for example, as 13772900164 + 126532449796 = 117358^2 + 355714^2 .

It is not an unprimeable number, because it can be changed into a prime (140305349969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 14063534 + ... + 14073506.

Almost surely, 2140305349960 is an apocalyptic number.

140305349960 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 140305349960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167829206580).

140305349960 is an abundant number, since it is smaller than the sum of its proper divisors (195353063200).

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

140305349960 is a wasteful number, since it uses less digits than its factorization.

140305349960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11235 (or 11214 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 44.

The spelling of 140305349960 in words is "one hundred forty billion, three hundred five million, three hundred forty-nine thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 17 20 34 40 68 85 136 170 289 340 578 680 1156 1217 1445 2312 2434 2890 4868 5780 6085 9736 9973 11560 12170 19946 20689 24340 39892 41378 48680 49865 79784 82756 99730 103445 165512 169541 199460 206890 339082 351713 398920 413780 678164 703426 827560 847705 1356328 1406852 1695410 1758565 2813704 2882197 3390820 3517130 5764394 6781640 7034260 11528788 12137141 14068520 14410985 23057576 24274282 28821970 48548564 57643940 60685705 97097128 115287880 121371410 206331397 242742820 412662794 485485640 825325588 1031656985 1650651176 2063313970 3507633749 4126627940 7015267498 8253255880 14030534996 17538168745 28061069992 35076337490 70152674980 140305349960