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40282898436 = 223211230412
BaseRepresentation
bin100101100001000011…
…000100000000000100
310211222101101021012100
4211201003010000010
51124444410222221
630301122152100
72624150662404
oct454103040004
9124871337170
1040282898436
11160a1711900
1279827b2630
133a4c8732a1
141d41dac804
1510ab768926
hex9610c4004

40282898436 has 81 divisors (see below), whose sum is σ = 111961500469. Its totient is φ = 12202924800.

The previous prime is 40282898423. The next prime is 40282898483. The reversal of 40282898436 is 63489828204.

The square root of 40282898436 is 200706.

It is a perfect power (a square), and thus also a powerful number.

40282898436 is a `hidden beast` number, since 40 + 2 + 82 + 8 + 98 + 436 = 666.

It can be written as a sum of positive squares in only one way, i.e., 39439576836 + 843321600 = 198594^2 + 29040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 13245076 + ... + 13248116.

Almost surely, 240282898436 is an apocalyptic number.

40282898436 is the 200706-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40282898436

40282898436 is an abundant number, since it is smaller than the sum of its proper divisors (71678602033).

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

40282898436 is a wasteful number, since it uses less digits than its factorization.

40282898436 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6114 (or 3057 counting only the distinct ones).

The product of its (nonzero) digits is 5308416, while the sum is 54.

It can be divided in two parts, 402828 and 98436, that added together give a square (501264 = 7082).

The spelling of 40282898436 in words is "forty billion, two hundred eighty-two million, eight hundred ninety-eight thousand, four hundred thirty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 3041 4356 6082 9123 12164 18246 27369 33451 36492 54738 66902 100353 109476 133804 200706 301059 367961 401412 602118 735922 1103883 1204236 1471844 2207766 3311649 4415532 6623298 9247681 13246596 18495362 27743043 36990724 55486086 83229129 101724491 110972172 166458258 203448982 305173473 332916516 406897964 610346946 915520419 1118969401 1220693892 1831040838 2237938802 3356908203 3662081676 4475877604 6713816406 10070724609 13427632812 20141449218 40282898436