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40420087027628 = 227111091782767537
BaseRepresentation
bin10010011000011000010001…
…11011011101011110101100
312022010010022100210010000112
421030030020323131132230
520244220314234341003
6221544422011115152
711341153302624350
oct1114141073353654
9168103270703015
1040420087027628
1111974076417650
124649825442ab8
1319727a0631769
149da4b2339460
154a1644d223d8
hex24c308edd7ac

40420087027628 has 96 divisors (see below), whose sum is σ = 89004666938880. Its totient is φ = 15602501698560.

The previous prime is 40420087027609. The next prime is 40420087027667. The reversal of 40420087027628 is 82672078002404.

40420087027628 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 598454276 + ... + 598521812.

It is an arithmetic number, because the mean of its divisors is an integer number (927131947280).

Almost surely, 240420087027628 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 40420087027628, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44502333469440).

40420087027628 is an abundant number, since it is smaller than the sum of its proper divisors (48584579911252).

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

40420087027628 is a wasteful number, since it uses less digits than its factorization.

40420087027628 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85495 (or 85493 counting only the distinct ones).

The product of its (nonzero) digits is 2408448, while the sum is 50.

The spelling of 40420087027628 in words is "forty trillion, four hundred twenty billion, eighty-seven million, twenty-seven thousand, six hundred twenty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 77 109 154 218 308 436 763 1199 1526 2398 3052 4796 8393 16786 17827 33572 35654 67537 71308 124789 135074 196097 249578 270148 392194 472759 499156 742907 784388 945518 1372679 1485814 1891036 1943143 2745358 2971628 3886286 5200349 5490716 7361533 7772572 10400698 13602001 14723066 20801396 21374573 27204002 29446132 42749146 51530731 54408004 80976863 85498292 103061462 149622011 161953726 206122924 299244022 323907452 566838041 598488044 1133676082 1203982099 2267352164 2407964198 4815928396 8427874693 13243803089 16855749386 26487606178 33711498772 52975212356 92706621623 131234048791 185413243246 262468097582 370826486492 524936195164 918638341537 1443574536701 1837276683074 2887149073402 3674553366148 5774298146804 10105021756907 20210043513814 40420087027628