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140011021104100 = 22523494011777109
BaseRepresentation
bin11111110101011011011011…
…001011010111001111100100
3200100201220220210101122012221
4133311123123023113033210
5121322420032400312400
61213440101455322124
741330314424106646
oct3765333313271744
9610656823348187
10140011021104100
1140680382373943
12138530a7820344
136017ca0b16b83
1426807d8cd2896
15112c01bd48c1a
hex7f56db2d73e4

140011021104100 has 36 divisors (see below), whose sum is σ = 304694471504500. Its totient is φ = 55843937343360.

The previous prime is 140011021104067. The next prime is 140011021104109. The reversal of 140011021104100 is 1401120110041.

It can be written as a sum of positive squares in 6 ways, for example, as 12701682579364 + 127309338524736 = 3563942^2 + 11283144^2 .

It is a super-2 number, since 2×1400110211041002 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (140011021104109) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2005853655 + ... + 2005923454.

Almost surely, 2140011021104100 is an apocalyptic number.

140011021104100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

140011021104100 is an abundant number, since it is smaller than the sum of its proper divisors (164683450400400).

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

140011021104100 is a wasteful number, since it uses less digits than its factorization.

140011021104100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4011777472 (or 4011777465 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 140011021104100 its reverse (1401120110041), we get a palindrome (141412141214141).

The spelling of 140011021104100 in words is "one hundred forty trillion, eleven billion, twenty-one million, one hundred four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 349 698 1396 1745 3490 6980 8725 17450 34900 4011777109 8023554218 16047108436 20058885545 40117771090 80235542180 100294427725 200588855450 401177710900 1400110211041 2800220422082 5600440844164 7000551055205 14001102110410 28002204220820 35002755276025 70005510552050 140011021104100