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1441406212540 = 225779222158679
BaseRepresentation
bin10100111110011010100…
…000010101100110111100
312002210112002002022221021
4110332122200111212330
5142103444442300130
63022101201313524
7206065250436610
oct24763240254674
95083462068837
101441406212540
1150632a258658
121b34300358a4
13a5c02101858
144da9b865340
152776331737a
hex14f9a8159bc

1441406212540 has 96 divisors (see below), whose sum is σ = 3504801484800. Its totient is φ = 487712759040.

The previous prime is 1441406212459. The next prime is 1441406212541. The reversal of 1441406212540 is 452126041441.

It is a junction number, because it is equal to n+sod(n) for n = 1441406212496 and 1441406212505.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1441406212541) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24534921 + ... + 24593599.

It is an arithmetic number, because the mean of its divisors is an integer number (36508348800).

Almost surely, 21441406212540 is an apocalyptic number.

1441406212540 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1441406212540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1752400742400).

1441406212540 is an abundant number, since it is smaller than the sum of its proper divisors (2063395272260).

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

1441406212540 is a wasteful number, since it uses less digits than its factorization.

1441406212540 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60995 (or 60993 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 34.

The spelling of 1441406212540 in words is "one trillion, four hundred forty-one billion, four hundred six million, two hundred twelve thousand, five hundred forty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 79 140 158 316 395 553 790 1106 1580 2212 2221 2765 4442 5530 8884 11060 11105 15547 22210 31094 44420 58679 62188 77735 117358 155470 175459 234716 293395 310940 350918 410753 586790 701836 821506 877295 1173580 1228213 1643012 1754590 2053765 2456426 3509180 4107530 4635641 4912852 6141065 8215060 9271282 12282130 18542564 23178205 24564260 32449487 46356410 64898974 92712820 129797948 130326059 162247435 260652118 324494870 521304236 648989740 651630295 912282413 1303260590 1824564826 2606521180 3649129652 4561412065 9122824130 10295758661 18245648260 20591517322 41183034644 51478793305 72070310627 102957586610 144140621254 205915173220 288281242508 360351553135 720703106270 1441406212540