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140044003100 = 225223792572999
BaseRepresentation
bin1000001001101101000…
…1011110011100011100
3111101110220111110122122
42002123101132130130
54243302231044400
6144200233002112
713055264246141
oct2023321363434
9441426443578
10140044003100
1154435209341
1223184553338
131028aa2a931
146ac74043c8
153999a14685
hex209b45e71c

140044003100 has 144 divisors (see below), whose sum is σ = 322479360000. Its totient is φ = 52680376320.

The previous prime is 140044003049. The next prime is 140044003111. The reversal of 140044003100 is 1300440041.

It is a super-2 number, since 2×1400440031002 (a number of 23 digits) contains 22 as substring.

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, 46695401 + ... + 46698399.

It is an arithmetic number, because the mean of its divisors is an integer number (2239440000).

Almost surely, 2140044003100 is an apocalyptic number.

140044003100 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 140044003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161239680000).

140044003100 is an abundant number, since it is smaller than the sum of its proper divisors (182435356900).

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

140044003100 is a wasteful number, since it uses less digits than its factorization.

140044003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3372 (or 3365 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 140044003100 its reverse (1300440041), we get a palindrome (141344443141).

It can be divided in two parts, 14004 and 4003100, that added together give a palindrome (4017104).

The spelling of 140044003100 in words is "one hundred forty billion, forty-four million, three thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 79 92 100 115 158 230 257 316 395 460 514 575 790 1028 1150 1285 1580 1817 1975 2300 2570 2999 3634 3950 5140 5911 5998 6425 7268 7900 9085 11822 11996 12850 14995 18170 20303 23644 25700 29555 29990 36340 40606 45425 59110 59980 68977 74975 81212 90850 101515 118220 137954 147775 149950 181700 203030 236921 275908 295550 299900 344885 406060 466969 473842 507575 591100 689770 770743 933938 947684 1015150 1184605 1379540 1541486 1724425 1867876 2030300 2334845 2369210 3082972 3448850 3853715 4669690 4738420 5449183 5923025 6897700 7707430 9339380 10898366 11674225 11846050 15414860 17727089 19268575 21796732 23348450 23692100 27245915 35454178 38537150 46696900 54491830 60888697 70908356 77074300 88635445 108983660 121777394 136229575 177270890 243554788 272459150 304443485 354541780 443177225 544918300 608886970 886354450 1217773940 1400440031 1522217425 1772708900 2800880062 3044434850 5601760124 6088869700 7002200155 14004400310 28008800620 35011000775 70022001550 140044003100