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40020000732 = 2232191271732663
BaseRepresentation
bin100101010001011000…
…001011111111011100
310211022001200200100100
4211101120023333130
51123430110010412
630215051301100
72614506251655
oct452130137734
9124261620310
1040020000732
1115a77279978
12790a74a790
133a0a26610a
141d190d652c
151093637edc
hex95160bfdc

40020000732 has 144 divisors (see below), whose sum is σ = 107985346560. Its totient is φ = 12461226624.

The previous prime is 40020000721. The next prime is 40020000743. The reversal of 40020000732 is 23700002004.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (40020000721) and next prime (40020000743).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15026833 + ... + 15029495.

It is an arithmetic number, because the mean of its divisors is an integer number (749898240).

Almost surely, 240020000732 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 40020000732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53992673280).

40020000732 is an abundant number, since it is smaller than the sum of its proper divisors (67965345828).

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

40020000732 is a wasteful number, since it uses less digits than its factorization.

40020000732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2992 (or 2987 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 18.

Adding to 40020000732 its reverse (23700002004), we get a palindrome (63720002736).

The spelling of 40020000732 in words is "forty billion, twenty million, seven hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 12 18 19 36 38 57 76 114 127 171 173 228 254 342 346 381 508 519 684 692 762 1038 1143 1524 1557 2076 2286 2413 2663 3114 3287 4572 4826 5326 6228 6574 7239 7989 9652 9861 10652 13148 14478 15978 19722 21717 21971 23967 28956 29583 31956 39444 43434 43942 47934 50597 59166 65913 86868 87884 95868 101194 118332 131826 151791 197739 202388 263652 303582 338201 395478 417449 455373 460699 607164 676402 790956 834898 910746 921398 1014603 1252347 1352804 1382097 1669796 1821492 1842796 2029206 2504694 2764194 3043809 3757041 4058412 4146291 5009388 5528388 6087618 6425819 7514082 8292582 8753281 12175236 12851638 15028164 16585164 17506562 19277457 25703276 26259843 35013124 38554914 52519686 57832371 58508773 77109828 78779529 105039372 115664742 117017546 157559058 175526319 231329484 234035092 315118116 351052638 526578957 702105276 1053157914 1111666687 2106315828 2223333374 3335000061 4446666748 6670000122 10005000183 13340000244 20010000366 40020000732