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40404042405232 = 2411715237977757
BaseRepresentation
bin10010010111111010011001…
…00110000101010101110000
312022001120220011222211210121
421023331030212011111300
520243434434323431412
6221533205535140024
711340044556604522
oct1113751446052560
9168046804884717
1040404042405232
1111968292674340
1246466a8074614
131971114553a5c
149d97cd4ada12
154a1006465107
hex24bf4c985570

40404042405232 has 160 divisors (see below), whose sum is σ = 86887917817344. Its totient is φ = 18047182003200.

The previous prime is 40404042405227. The next prime is 40404042405281. The reversal of 40404042405232 is 23250424040404.

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, 5208716298 + ... + 5208724054.

Almost surely, 240404042405232 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 40404042405232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43443958908672).

40404042405232 is an abundant number, since it is smaller than the sum of its proper divisors (46483875412112).

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

40404042405232 is a wasteful number, since it uses less digits than its factorization.

40404042405232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9167 (or 9161 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 34.

Adding to 40404042405232 its reverse (23250424040404), we get a palindrome (63654466445636).

The spelling of 40404042405232 in words is "forty trillion, four hundred four billion, forty-two million, four hundred five thousand, two hundred thirty-two".

Divisors: 1 2 4 8 11 16 22 44 71 88 142 176 284 523 568 781 797 1046 1136 1562 1594 2092 3124 3188 4184 5753 6248 6376 7757 8368 8767 11506 12496 12752 15514 17534 23012 31028 35068 37133 46024 56587 62056 70136 74266 85327 92048 113174 124112 140272 148532 170654 226348 297064 341308 408463 416831 452696 550747 594128 622457 682616 816926 833662 905392 1101494 1244914 1365232 1633852 1667324 2202988 2489828 3267704 3334648 4056911 4405976 4585141 4979656 6058217 6182329 6535408 6669296 8113822 8811952 9170282 9959312 12116434 12364658 16227644 18340564 24232868 24729316 29595001 32455288 36681128 44626021 48465736 49458632 59190002 64910576 68005619 73362256 89252042 96931472 98917264 118380004 136011238 178504084 236760008 272022476 288040681 325545011 357008168 438945359 473520016 544044952 576081362 651090022 714016336 877890718 1088089904 1152162724 1302180044 1755781436 2304325448 2604360088 3168447491 3233358067 3511562872 4608650896 4828398949 5208720176 6336894982 6466716134 7023125744 9656797898 12673789964 12933432268 19313595796 25347579928 25866864536 35566938737 38627191592 50695159856 51733729072 71133877474 77254383184 142267754948 229568422757 284535509896 459136845514 569071019792 918273691028 1836547382056 2525252650327 3673094764112 5050505300654 10101010601308 20202021202616 40404042405232