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140452552900 = 225211234072
BaseRepresentation
bin1000001011001110011…
…1111110000011000100
3111102112101020221121201
42002303213332003010
54300121323143100
6144304545352244
713101355000342
oct2026347760304
9442471227551
10140452552900
1154624893900
1223279338684
131032457398a
146b25792992
1539c081636a
hex20b39fe0c4

140452552900 has 81 divisors (see below), whose sum is σ = 335106716077. Its totient is φ = 51058664800.

The previous prime is 140452552871. The next prime is 140452552921. The reversal of 140452552900 is 9255254041.

The square root of 140452552900 is 374770.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 50562919044 + 89889633856 = 224862^2 + 299816^2 .

It is a super-2 number, since 2×1404525529002 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 140452552900.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 41222997 + ... + 41226403.

Almost surely, 2140452552900 is an apocalyptic number.

140452552900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

140452552900 is the 374770-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 140452552900

140452552900 is an abundant number, since it is smaller than the sum of its proper divisors (194654163177).

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

140452552900 is an equidigital number, since it uses as much as digits as its factorization.

140452552900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6850 (or 3425 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 37.

The spelling of 140452552900 in words is "one hundred forty billion, four hundred fifty-two million, five hundred fifty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 3407 6050 6814 12100 13628 17035 34070 37477 68140 74954 85175 149908 170350 187385 340700 374770 412247 749540 824494 936925 1648988 1873850 2061235 3747700 4122470 8244940 10306175 11607649 20612350 23215298 41224700 46430596 58038245 116076490 127684139 232152980 255368278 290191225 510736556 580382450 638420695 1160764900 1276841390 1404525529 2553682780 2809051058 3192103475 5618102116 6384206950 7022627645 12768413900 14045255290 28090510580 35113138225 70226276450 140452552900