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40143211404032 = 2811103503275153
BaseRepresentation
bin10010010000010100100011…
…10110110001101100000000
312021010122122102110010012202
421020022101312301230000
520230201244104412112
6221213311533412332
711312152125641012
oct1110122166615400
9167118572403182
1040143211404032
1111877705340630
12460403433a0a8
13195264758bc19
149cad284201b2
1549933c8406c2
hex248291db1b00

40143211404032 has 144 divisors (see below), whose sum is σ = 88438598696448. Its totient is φ = 18033770250240.

The previous prime is 40143211404031. The next prime is 40143211404073. The reversal of 40143211404032 is 23040411234104.

It is a super-2 number, since 2×401432114040322 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 40143211403986 and 40143211404004.

It is not an unprimeable number, because it can be changed into a prime (40143211404031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145756568 + ... + 146031720.

It is an arithmetic number, because the mean of its divisors is an integer number (614156935392).

Almost surely, 240143211404032 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 40143211404032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44219299348224).

40143211404032 is an abundant number, since it is smaller than the sum of its proper divisors (48295387292416).

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

40143211404032 is a wasteful number, since it uses less digits than its factorization.

40143211404032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 275786 (or 275772 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 29.

Adding to 40143211404032 its reverse (23040411234104), we get a palindrome (63183622638136).

The spelling of 40143211404032 in words is "forty trillion, one hundred forty-three billion, two hundred eleven million, four hundred four thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 103 128 176 206 256 352 412 503 704 824 1006 1133 1408 1648 2012 2266 2816 3296 4024 4532 5533 6592 8048 9064 11066 13184 16096 18128 22132 26368 32192 36256 44264 51809 64384 72512 88528 103618 128768 145024 177056 207236 275153 290048 354112 414472 550306 569899 708224 828944 1100612 1139798 1416448 1657888 2201224 2279596 3026683 3315776 4402448 4559192 6053366 6631552 8804896 9118384 12106732 13263104 17609792 18236768 24213464 28340759 35219584 36473536 48426928 56681518 70439168 72947072 96853856 113363036 138401959 145894144 193707712 226726072 276803918 311748349 387415424 453452144 553607836 623496698 774830848 906904288 1107215672 1246993396 1522421549 1813808576 2214431344 2493986792 3044843098 3627617152 4428862688 4987973584 6089686196 7255234304 8857725376 9975947168 12179372392 14255401777 17715450752 19951894336 24358744784 28510803554 35430901504 39903788672 48717489568 57021607108 79807577344 97434979136 114043214216 156809419547 194869958272 228086428432 313618839094 389739916544 456172856864 627237678188 912345713728 1254475356376 1824691427456 2508950712752 3649382854912 5017901425504 10035802851008 20071605702016 40143211404032