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1043850456100 = 225271214392
BaseRepresentation
bin11110011000010100101…
…01011110110000100100
310200210100201210101202201
433030022111132300210
5114100301204043400
62115312133544244
7135262405323244
oct17141225366044
93623321711681
101043850456100
11372770407661
1214a37b4a5084
1377585ca039a
143874615bb24
151c2462d406a
hexf30a55ec24

1043850456100 has 81 divisors (see below), whose sum is σ = 2299106144881. Its totient is φ = 411373261600.

The previous prime is 1043850456079. The next prime is 1043850456109. The reversal of 1043850456100 is 16540583401.

It is a happy number.

The square root of 1043850456100 is 1021690.

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., 375786164196 + 668064291904 = 613014^2 + 817352^2 .

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 1043850456100.

It is not an unprimeable number, because it can be changed into a prime (1043850456109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 725399181 + ... + 725400619.

Almost surely, 21043850456100 is an apocalyptic number.

1043850456100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1043850456100 is the 1021690-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1043850456100

1043850456100 is an abundant number, since it is smaller than the sum of its proper divisors (1255255688781).

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

1043850456100 is an frugal number, since it uses more digits than its factorization.

1043850456100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3034 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 37.

The spelling of 1043850456100 in words is "one trillion, forty-three billion, eight hundred fifty million, four hundred fifty-six thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 71 100 142 284 355 710 1420 1439 1775 2878 3550 5041 5756 7100 7195 10082 14390 20164 25205 28780 35975 50410 71950 100820 102169 126025 143900 204338 252050 408676 504100 510845 1021690 2043380 2070721 2554225 4141442 5108450 7253999 8282884 10216900 10353605 14507998 20707210 29015996 36269995 41414420 51768025 72539990 103536050 145079980 147021191 181349975 207072100 294042382 362699950 588084764 725399900 735105955 1470211910 2940423820 3675529775 7351059550 10438504561 14702119100 20877009122 41754018244 52192522805 104385045610 208770091220 260962614025 521925228050 1043850456100