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40255334768 = 241129431491231
BaseRepresentation
bin100101011111011001…
…111010100101110000
310211220110111212221202
4211133121322211300
51124420331203033
630254255310332
72623364462015
oct453731724560
9124813455852
1040255334768
11160880a5910
12797551b3a8
133a46c4221c
141d3c47570c
1510a91218e8
hex95f67a970

40255334768 has 160 divisors (see below), whose sum is σ = 90744192000. Its totient is φ = 17126323200.

The previous prime is 40255334759. The next prime is 40255334843. The reversal of 40255334768 is 86743355204.

It is a super-2 number, since 2×402553347682 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

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, 32700713 + ... + 32701943.

It is an arithmetic number, because the mean of its divisors is an integer number (567151200).

Almost surely, 240255334768 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40255334768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45372096000).

40255334768 is an abundant number, since it is smaller than the sum of its proper divisors (50488857232).

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

40255334768 is a wasteful number, since it uses less digits than its factorization.

40255334768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1471 (or 1465 counting only the distinct ones).

The product of its (nonzero) digits is 2419200, while the sum is 47.

The spelling of 40255334768 in words is "forty billion, two hundred fifty-five million, three hundred thirty-four thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 29 43 44 58 86 88 116 149 172 176 232 298 319 344 464 473 596 638 688 946 1192 1231 1247 1276 1639 1892 2384 2462 2494 2552 3278 3784 4321 4924 4988 5104 6407 6556 7568 8642 9848 9976 12814 13112 13541 13717 17284 19696 19952 25628 26224 27082 27434 34568 35699 47531 51256 52933 54164 54868 69136 70477 71398 95062 102512 105866 108328 109736 140954 142796 183419 185803 190124 211732 216656 219472 281908 285592 366838 371606 380248 392689 423464 563816 571184 582263 733676 743212 760496 785378 846928 1127632 1164526 1467352 1486424 1535057 1570756 2017609 2043833 2329052 2934704 2972848 3070114 3141512 4035218 4087666 4658104 5319151 6140228 6283024 7887017 8070436 8175332 9316208 10638302 12280456 15774034 16140872 16350664 16885627 21276604 24560912 31548068 32281744 32701328 33771254 42553208 58510661 63096136 67542508 85106416 86757187 117021322 126192272 135085016 173514374 228723493 234042644 270170032 347028748 457446986 468085288 694057496 914893972 936170576 1388114992 1829787944 2515958423 3659575888 5031916846 10063833692 20127667384 40255334768