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140101022441000 = 235311311091117973
BaseRepresentation
bin11111110110101111001111…
…101011001101111000101000
3200101001112020010210021020002
4133312233033223031320220
5121330403343221103000
61213545304324322132
741336651640622115
oct3766571753157050
9611045203707202
10140101022441000
1140705567818405
1213868624b43348
136023614cb67ca
142684cd605b90c
15112e53838b8d5
hex7f6bcfacde28

140101022441000 has 128 divisors (see below), whose sum is σ = 331036126106400. Its totient is φ = 55494341324800.

The previous prime is 140101022440993. The next prime is 140101022441041. The reversal of 140101022441000 is 144220101041.

It can be written as a sum of positive squares in 16 ways, for example, as 89117338279204 + 50983684161796 = 9440198^2 + 7140286^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 124758014 + ... + 125875986.

Almost surely, 2140101022441000 is an apocalyptic number.

140101022441000 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 140101022441000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165518063053200).

140101022441000 is an abundant number, since it is smaller than the sum of its proper divisors (190935103665400).

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

140101022441000 is a wasteful number, since it uses less digits than its factorization.

140101022441000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1119216 (or 1119202 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

Adding to 140101022441000 its reverse (144220101041), we get a palindrome (140245242542041).

The spelling of 140101022441000 in words is "one hundred forty trillion, one hundred one billion, twenty-two million, four hundred forty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 113 125 200 226 250 452 500 565 904 1000 1109 1130 2218 2260 2825 4436 4520 5545 5650 8872 11090 11300 14125 22180 22600 27725 28250 44360 55450 56500 110900 113000 125317 138625 221800 250634 277250 501268 554500 626585 1002536 1109000 1117973 1253170 2235946 2506340 3132925 4471892 5012680 5589865 6265850 8943784 11179730 12531700 15664625 22359460 25063400 27949325 31329250 44718920 55898650 62658500 111797300 125317000 126330949 139746625 223594600 252661898 279493250 505323796 558986500 631654745 1010647592 1117973000 1239832057 1263309490 2479664114 2526618980 3158273725 4959328228 5053237960 6199160285 6316547450 9918656456 12398320570 12633094900 15791368625 24796641140 25266189800 30995801425 31582737250 49593282280 61991602850 63165474500 123983205700 126330949000 140101022441 154979007125 247966411400 280202044882 309958014250 560404089764 619916028500 700505112205 1120808179528 1239832057000 1401010224410 2802020448820 3502525561025 5604040897640 7005051122050 14010102244100 17512627805125 28020204488200 35025255610250 70050511220500 140101022441000