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140120055313000 = 2353746214331779
BaseRepresentation
bin11111110111000000111110…
…000111110111001001101000
3200101010100100120111100021021
4133313000332013313021220
5121331211333130004000
61214002133105022224
741341224410434630
oct3767007607671150
9611110316440237
10140120055313000
1140712644335894
1213870257024974
1360253591c3549
142685bbdb116c0
15112ec9e26b11a
hex7f703e1f7268

140120055313000 has 128 divisors (see below), whose sum is σ = 374802239635200. Its totient is φ = 48030754464000.

The previous prime is 140120055312997. The next prime is 140120055313003. The reversal of 140120055313000 is 313550021041.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (140120055312997) and next prime (140120055313003).

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (140120055313003) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30181111 + ... + 34512889.

It is an arithmetic number, because the mean of its divisors is an integer number (2928142497150).

Almost surely, 2140120055313000 is an apocalyptic number.

140120055313000 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 140120055313000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187401119817600).

140120055313000 is an abundant number, since it is smaller than the sum of its proper divisors (234682184322200).

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

140120055313000 is a wasteful number, since it uses less digits than its factorization.

140120055313000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4336428 (or 4336414 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

The spelling of 140120055313000 in words is "one hundred forty trillion, one hundred twenty billion, fifty-five million, three hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 350 500 700 875 1000 1400 1750 3500 4621 7000 9242 18484 23105 32347 36968 46210 64694 92420 115525 129388 161735 184840 231050 258776 323470 462100 577625 646940 808675 924200 1155250 1293880 1617350 2310500 3234700 4043375 4331779 4621000 6469400 8086750 8663558 16173500 17327116 21658895 30322453 32347000 34654232 43317790 60644906 86635580 108294475 121289812 151612265 173271160 216588950 242579624 303224530 433177900 541472375 606449060 758061325 866355800 1082944750 1212898120 1516122650 2165889500 3032245300 3790306625 4331779000 6064490600 7580613250 15161226500 20017150759 30322453000 40034301518 80068603036 100085753795 140120055313 160137206072 200171507590 280240110626 400343015180 500428768975 560480221252 700600276565 800686030360 1000857537950 1120960442504 1401200553130 2001715075900 2502143844875 2802401106260 3503001382825 4003430151800 5004287689750 5604802212520 7006002765650 10008575379500 14012005531300 17515006914125 20017150759000 28024011062600 35030013828250 70060027656500 140120055313000