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4404135225320 = 2351761106174909
BaseRepresentation
bin100000000010110101011…
…1010100110011111101000
3120121000211202102021122022
41000011222322212133220
51034124132104202240
613211122022244012
7633121401513455
oct100055272463750
916530752367568
104404135225320
111448868578a56
125b1673b86608
1325c40108345c
141132387b682c
157986593a9b5
hex4016aea67e8

4404135225320 has 64 divisors (see below), whose sum is σ = 10664207960400. Its totient is φ = 1630846586880.

The previous prime is 4404135225263. The next prime is 4404135225341. The reversal of 4404135225320 is 235225314044.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 1594870945924 + 2809264279396 = 1262882^2 + 1676086^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 53045975 + ... + 53128934.

Almost surely, 24404135225320 is an apocalyptic number.

4404135225320 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4404135225320 is an abundant number, since it is smaller than the sum of its proper divisors (6260072735080).

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

4404135225320 is a wasteful number, since it uses less digits than its factorization.

4404135225320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106174998 (or 106174994 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

The spelling of 4404135225320 in words is "four trillion, four hundred four billion, one hundred thirty-five million, two hundred twenty-five thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 17 20 34 40 61 68 85 122 136 170 244 305 340 488 610 680 1037 1220 2074 2440 4148 5185 8296 10370 20740 41480 106174909 212349818 424699636 530874545 849399272 1061749090 1804973453 2123498180 3609946906 4246996360 6476669449 7219893812 9024867265 12953338898 14439787624 18049734530 25906677796 32383347245 36099469060 51813355592 64766694490 72198938120 110103380633 129533388980 220206761266 259066777960 440413522532 550516903165 880827045064 1101033806330 2202067612660 4404135225320