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140558748900 = 223521756348953
BaseRepresentation
bin1000001011100111110…
…1000100110011100100
3111102210210002021010220
42002321331010303210
54300331014431100
6144323301444340
713104114436563
oct2027175046344
9442723067126
10140558748900
1154679827499
12232a8a106b0
131034057674b
146b35917bda
1539c9ce1aa0
hex20b9f44ce4

140558748900 has 144 divisors (see below), whose sum is σ = 431379514944. Its totient is φ = 35214110720.

The previous prime is 140558748821. The next prime is 140558748901. The reversal of 140558748900 is 9847855041.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is not an unprimeable number, because it can be changed into a prime (140558748901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2846824 + ... + 2895776.

It is an arithmetic number, because the mean of its divisors is an integer number (2995691076).

Almost surely, 2140558748900 is an apocalyptic number.

140558748900 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 140558748900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215689757472).

140558748900 is an abundant number, since it is smaller than the sum of its proper divisors (290820766044).

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

140558748900 is a wasteful number, since it uses less digits than its factorization.

140558748900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49550 (or 49543 counting only the distinct ones).

The product of its (nonzero) digits is 1612800, while the sum is 51.

The spelling of 140558748900 in words is "one hundred forty billion, five hundred fifty-eight million, seven hundred forty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 20 25 30 34 50 51 60 68 75 85 100 102 150 170 204 255 300 340 425 510 563 850 1020 1126 1275 1689 1700 2252 2550 2815 3378 5100 5630 6756 8445 9571 11260 14075 16890 19142 28150 28713 33780 38284 42225 47855 48953 56300 57426 84450 95710 97906 114852 143565 146859 168900 191420 195812 239275 244765 287130 293718 478550 489530 574260 587436 717825 734295 832201 957100 979060 1223825 1435650 1468590 1664402 2447650 2496603 2871300 2937180 3328804 3671475 4161005 4895300 4993206 7342950 8322010 9986412 12483015 14685900 16644020 20805025 24966030 27560539 41610050 49932060 55121078 62415075 82681617 83220100 110242156 124830150 137802695 165363234 249660300 275605390 330726468 413408085 468529163 551210780 689013475 826816170 937058326 1378026950 1405587489 1653632340 1874116652 2067040425 2342645815 2756053900 2811174978 4134080850 4685291630 5622349956 7027937445 8268161700 9370583260 11713229075 14055874890 23426458150 28111749780 35139687225 46852916300 70279374450 140558748900