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400021200021320 = 235376734501116927
BaseRepresentation
bin101101011110100010011000…
…1100001111010011101001000
31221110100122122012211210011122
41122331010301201322131020
5404412421404201140240
63534435111413014412
7150154402150063553
oct13275046141723510
91843318565753148
10400021200021320
11106506046976479
1238a46956624408
1314228ab6726777
1470ad1b506769a
15313a7093db4b5
hex16bd13187a748

400021200021320 has 128 divisors (see below), whose sum is σ = 938205146511360. Its totient is φ = 153354529152000.

The previous prime is 400021200021281. The next prime is 400021200021349. The reversal of 400021200021320 is 23120002120004.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3421060697 + ... + 3421177623.

It is an arithmetic number, because the mean of its divisors is an integer number (7329727707120).

Almost surely, 2400021200021320 is an apocalyptic number.

400021200021320 is a gapful number since it is divisible by the number (40) 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 400021200021320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (469102573255680).

400021200021320 is an abundant number, since it is smaller than the sum of its proper divisors (538183946490040).

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

400021200021320 is a wasteful number, since it uses less digits than its factorization.

400021200021320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151543 (or 151539 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

Adding to 400021200021320 its reverse (23120002120004), we get a palindrome (423141202141324).

The spelling of 400021200021320 in words is "four hundred trillion, twenty-one billion, two hundred million, twenty-one thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 20 37 40 67 74 134 148 185 268 296 335 370 536 670 740 1340 1480 2479 2680 4958 9916 12395 19832 24790 34501 49580 69002 99160 116927 138004 172505 233854 276008 345010 467708 584635 690020 935416 1169270 1276537 1380040 2311567 2338540 2553074 4326299 4623134 4677080 5106148 6382685 7834109 8652598 9246268 10212296 11557835 12765370 15668218 17305196 18492536 21631495 23115670 25530740 31336436 34610392 39170545 43262990 46231340 51061480 62672872 78341090 85527979 86525980 92462680 156682180 171055958 173051960 289862033 313364360 342111916 427639895 579724066 684223832 855279790 1159448132 1449310165 1710559580 2318896264 2898620330 3421119160 4034098427 5797240660 8068196854 11594481320 16136393708 20170492135 32272787416 40340984270 80681968540 149261641799 161363937080 270284594609 298523283598 540569189218 597046567196 746308208995 1081138378436 1194093134392 1351422973045 1492616417990 2162276756872 2702845946090 2985232835980 5405691892180 5970465671960 10000530000533 10811383784360 20001060001066 40002120002132 50002650002665 80004240004264 100005300005330 200010600010660 400021200021320