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201044402430 = 23573891377529
BaseRepresentation
bin1011101100111100101…
…1100010000011111110
3201012221010111211021220
42323033023202003332
511243214331334210
6232205235134210
720345032140024
oct2731713420376
9635833454256
10201044402430
1178298362203
1232b69444366
1315c5c804991
149a32aaa714
155369ec6c70
hex2ecf2e20fe

201044402430 has 128 divisors (see below), whose sum is σ = 498288412800. Its totient is φ = 51894779904.

The previous prime is 201044402353. The next prime is 201044402453. The reversal of 201044402430 is 34204440102.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 201044402430.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26698906 + ... + 26706434.

It is an arithmetic number, because the mean of its divisors is an integer number (3892878225).

Almost surely, 2201044402430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201044402430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249144206400).

201044402430 is an abundant number, since it is smaller than the sum of its proper divisors (297244010370).

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

201044402430 is a wasteful number, since it uses less digits than its factorization.

201044402430 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7838.

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 201044402430 its reverse (34204440102), we get a palindrome (235248842532).

The spelling of 201044402430 in words is "two hundred one billion, forty-four million, four hundred two thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 73 89 137 146 178 219 267 274 365 411 438 445 534 685 730 822 890 1095 1335 1370 2055 2190 2670 4110 6497 7529 10001 12193 12994 15058 19491 20002 22587 24386 30003 32485 36579 37645 38982 45174 50005 60006 60965 64970 73158 75290 97455 100010 112935 121930 150015 182895 194910 225870 300030 365790 549617 670081 890089 1031473 1099234 1340162 1648851 1780178 2010243 2062946 2670267 2748085 3094419 3297702 3350405 4020486 4450445 5157365 5340534 5496170 6188838 6700810 8244255 8900890 10051215 10314730 13351335 15472095 16488510 20102430 26702670 30944190 48915913 75297529 91801097 97831826 146747739 150595058 183602194 225892587 244579565 275403291 293495478 376487645 451785174 459005485 489159130 550806582 733738695 752975290 918010970 1129462935 1377016455 1467477390 2258925870 2754032910 6701480081 13402960162 20104440243 33507400405 40208880486 67014800810 100522201215 201044402430