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140205233440 = 2554183257503
BaseRepresentation
bin1000001010010011100…
…0100001010100100000
3111101220010212211002201
42002210320201110200
54244120014432230
6144224232422544
713062262551346
oct2024470412440
9441803784081
10140205233440
1154508221058
122320a547a54
13102b525c3bc
146b009b3996
1539a8c615ca
hex20a4e21520

140205233440 has 96 divisors (see below), whose sum is σ = 343403214336. Its totient is φ = 54054819840.

The previous prime is 140205233437. The next prime is 140205233453. The reversal of 140205233440 is 44332502041.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 140205233399 and 140205233408.

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, 415729 + ... + 673231.

It is an arithmetic number, because the mean of its divisors is an integer number (3577116816).

Almost surely, 2140205233440 is an apocalyptic number.

140205233440 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 140205233440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171701607168).

140205233440 is an abundant number, since it is smaller than the sum of its proper divisors (203197980896).

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

140205233440 is a wasteful number, since it uses less digits than its factorization.

140205233440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257642 (or 257634 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 28.

Adding to 140205233440 its reverse (44332502041), we get a palindrome (184537735481).

The spelling of 140205233440 in words is "one hundred forty billion, two hundred five million, two hundred thirty-three thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 80 82 83 160 164 166 205 328 332 410 415 656 664 820 830 1312 1328 1640 1660 2656 3280 3320 3403 6560 6640 6806 13280 13612 17015 27224 34030 54448 68060 108896 136120 257503 272240 515006 544480 1030012 1287515 2060024 2575030 4120048 5150060 8240096 10300120 10557623 20600240 21115246 21372749 41200480 42230492 42745498 52788115 84460984 85490996 105576230 106863745 168921968 170981992 211152460 213727490 337843936 341963984 422304920 427454980 683927968 844609840 854909960 876282709 1689219680 1709819920 1752565418 3419639840 3505130836 4381413545 7010261672 8762827090 14020523344 17525654180 28041046688 35051308360 70102616720 140205233440