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40845868448 = 25721117139303
BaseRepresentation
bin100110000010100110…
…100111110110100000
310220102121201002212112
4212002212213312200
51132123020242243
630433032414452
72644125103400
oct460246476640
9126377632775
1040845868448
1116360478580
127abb247428
133b0c3a5138
141d96a76800
1510e0dbe818
hex9829a7da0

40845868448 has 144 divisors (see below), whose sum is σ = 108051983424. Its totient is φ = 14977751040.

The previous prime is 40845868447. The next prime is 40845868471. The reversal of 40845868448 is 84486854804.

It is not an unprimeable number, because it can be changed into a prime (40845868447) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 223565 + ... + 362867.

It is an arithmetic number, because the mean of its divisors is an integer number (750360996).

Almost surely, 240845868448 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 40845868448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54025991712).

40845868448 is an abundant number, since it is smaller than the sum of its proper divisors (67206114976).

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

40845868448 is a wasteful number, since it uses less digits than its factorization.

40845868448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139355 (or 139340 counting only the distinct ones).

The product of its (nonzero) digits is 31457280, while the sum is 59.

The spelling of 40845868448 in words is "forty billion, eight hundred forty-five million, eight hundred sixty-eight thousand, four hundred forty-eight".

Divisors: 1 2 4 7 8 11 14 16 17 22 28 32 34 44 49 56 68 77 88 98 112 119 136 154 176 187 196 224 238 272 308 352 374 392 476 539 544 616 748 784 833 952 1078 1232 1309 1496 1568 1666 1904 2156 2464 2618 2992 3332 3808 4312 5236 5984 6664 8624 9163 10472 13328 17248 18326 20944 26656 36652 41888 73304 139303 146608 278606 293216 557212 975121 1114424 1532333 1950242 2228848 2368151 3064666 3900484 4457696 4736302 6129332 6825847 7800968 9472604 10726331 12258664 13651694 15601936 16577057 18945208 21452662 24517328 26049661 27303388 31203872 33154114 37890416 42905324 49034656 52099322 54606776 66308228 75084317 75780832 85810648 104198644 109213552 116039399 132616456 150168634 171621296 182347627 208397288 218427104 232078798 265232912 300337268 343242592 364695254 416794576 464157596 530465824 600674536 729390508 833589152 928315192 1201349072 1276433389 1458781016 1856630384 2402698144 2552866778 2917562032 3713260768 5105733556 5835124064 10211467112 20422934224 40845868448