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34440223241320 = 235133710117723093
BaseRepresentation
bin1111101010010101111010…
…10001011011010001101000
311111221110020101002012102121
413311022331101123101220
514003232034122210240
6201125341541041024
710153136560250431
oct765127521332150
9144843211065377
1034440223241320
11aa7902018a616
123a428b50b6174
13162a911c5c410
14870cb696c488
153ead08a6004a
hex1f52bd45b468

34440223241320 has 128 divisors (see below), whose sum is σ = 86555337553440. Its totient is φ = 12250201190400.

The previous prime is 34440223241299. The next prime is 34440223241371. The reversal of 34440223241320 is 2314232204443.

It can be written as a sum of positive squares in 16 ways, for example, as 16220933460484 + 18219289780836 = 4027522^2 + 4268406^2 .

It is a super-2 number, since 2×344402232413202 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6918307 + ... + 10804786.

Almost surely, 234440223241320 is an apocalyptic number.

It is an amenable number.

34440223241320 is an abundant number, since it is smaller than the sum of its proper divisors (52115114312120).

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

34440223241320 is a wasteful number, since it uses less digits than its factorization.

34440223241320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17723255 (or 17723251 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 34.

Adding to 34440223241320 its reverse (2314232204443), we get a palindrome (36754455445763).

The spelling of 34440223241320 in words is "thirty-four trillion, four hundred forty billion, two hundred twenty-three million, two hundred forty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 37 40 52 65 74 101 104 130 148 185 202 260 296 370 404 481 505 520 740 808 962 1010 1313 1480 1924 2020 2405 2626 3737 3848 4040 4810 5252 6565 7474 9620 10504 13130 14948 18685 19240 26260 29896 37370 48581 52520 74740 97162 149480 194324 242905 388648 485810 971620 1943240 17723093 35446186 70892372 88615465 141784744 177230930 230400209 354461860 460800418 655754441 708923720 921600836 1152001045 1311508882 1790032393 1843201672 2304002090 2623017764 3278772205 3580064786 4608004180 5246035528 6557544410 7160129572 8524807733 8950161965 9216008360 13115088820 14320259144 17049615466 17900323930 23270421109 26230177640 34099230932 35800647860 42624038665 46540842218 66231198541 68198461864 71601295720 85248077330 93081684436 116352105545 132462397082 170496154660 186163368872 232704211090 264924794164 331155992705 340992309320 465408422180 529849588328 662311985410 861005581033 930816844360 1324623970820 1722011162066 2649247941640 3444022324132 4305027905165 6888044648264 8610055810330 17220111620660 34440223241320