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40388006484 = 2235715433847
BaseRepresentation
bin100101100111010100…
…000001001001010100
310212020201011022100000
4211213110001021110
51130203312201414
630315355051300
72626565251020
oct454724011124
9125221138300
1040388006484
1116145a82061
1279b1a40b30
133a68584ab7
141d51d2d380
1510b5acbb09
hex967501254

40388006484 has 144 divisors (see below), whose sum is σ = 121107703808. Its totient is φ = 11528954208.

The previous prime is 40388006471. The next prime is 40388006501. The reversal of 40388006484 is 48460088304.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10496649 + ... + 10500495.

Almost surely, 240388006484 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 40388006484, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60553851904).

40388006484 is an abundant number, since it is smaller than the sum of its proper divisors (80719697324).

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

40388006484 is a wasteful number, since it uses less digits than its factorization.

40388006484 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5416 (or 5402 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 40388006484 in words is "forty billion, three hundred eighty-eight million, six thousand, four hundred eighty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 27 28 36 42 54 63 81 84 108 126 162 189 243 252 324 378 486 567 756 972 1134 1543 1701 2268 3086 3402 3847 4629 6172 6804 7694 9258 10801 11541 13887 15388 18516 21602 23082 26929 27774 32403 34623 41661 43204 46164 53858 55548 64806 69246 80787 83322 97209 103869 107716 124983 129612 138492 161574 166644 194418 207738 242361 249966 291627 311607 323148 374949 388836 415476 484722 499932 583254 623214 727083 749898 874881 934821 969444 1166508 1246428 1454166 1499796 1749762 1869642 2181249 2624643 2908332 3499524 3739284 4362498 5249286 5935921 6543747 8724996 10498572 11871842 13087494 17807763 23743684 26174988 35615526 41551447 53423289 71231052 83102894 106846578 124654341 160269867 166205788 213693156 249308682 320539734 373963023 480809601 498617364 641079468 747926046 961619202 1121889069 1442428803 1495852092 1923238404 2243778138 2884857606 3365667207 4487556276 5769715212 6731334414 10097001621 13462668828 20194003242 40388006484