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140353650100 = 2252311011133967
BaseRepresentation
bin1000001010110110111…
…0101011110110110100
3111102021111011011111001
42002231232223312310
54244421013300400
6144251053453044
713066044225106
oct2025556536664
9442244134431
10140353650100
1154583a81754
12232501a1184
1310309c25701
146b165a9576
1539b6ccba6a
hex20adbabdb4

140353650100 has 144 divisors (see below), whose sum is σ = 320395493376. Its totient is φ = 53303040000.

The previous prime is 140353650061. The next prime is 140353650163. The reversal of 140353650100 is 1056353041.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 35378317 + ... + 35382283.

It is an arithmetic number, because the mean of its divisors is an integer number (2224968704).

Almost surely, 2140353650100 is an apocalyptic number.

140353650100 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 140353650100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160197746688).

140353650100 is an abundant number, since it is smaller than the sum of its proper divisors (180041843276).

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

140353650100 is a wasteful number, since it uses less digits than its factorization.

140353650100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4226 (or 4219 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 28.

The spelling of 140353650100 in words is "one hundred forty billion, three hundred fifty-three million, six hundred fifty thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 31 50 62 100 101 113 124 155 202 226 310 404 452 505 565 620 775 1010 1130 1550 2020 2260 2525 2825 3100 3131 3503 3967 5050 5650 6262 7006 7934 10100 11300 11413 12524 14012 15655 15868 17515 19835 22826 31310 35030 39670 45652 57065 62620 70060 78275 79340 87575 99175 114130 122977 156550 175150 198350 228260 245954 285325 313100 350300 353803 396700 400667 448271 491908 570650 614885 707606 801334 896542 1141300 1229770 1415212 1602668 1769015 1793084 2003335 2241355 2459540 3074425 3538030 4006670 4482710 6148850 7076060 8013340 8845075 8965420 10016675 11206775 12297700 12420677 13896401 17690150 20033350 22413550 24841354 27792802 35380300 40066700 44827100 45275371 49682708 55585604 62103385 69482005 90550742 124206770 138964010 181101484 226376855 248413540 277928020 310516925 347410025 452753710 621033850 694820050 905507420 1131884275 1242067700 1389640100 1403536501 2263768550 2807073002 4527537100 5614146004 7017682505 14035365010 28070730020 35088412525 70176825050 140353650100