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400535053050 = 2352112142915443
BaseRepresentation
bin1011101010000011011…
…11111110001011111010
31102021211222100212210110
411311001233332023322
523030243433144200
6504000412125150
740636426530306
oct5650157761372
91367758325713
10400535053050
11144958660700
12657624667b6
132ba02447392
1415559280d06
15a643887b50
hex5d41bfe2fa

400535053050 has 144 divisors (see below), whose sum is σ = 1092673501920. Its totient is φ = 97025174400.

The previous prime is 400535053049. The next prime is 400535053081. The reversal of 400535053050 is 50350535004.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 400535052999 and 400535053017.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 25928629 + ... + 25944071.

It is an arithmetic number, because the mean of its divisors is an integer number (7588010430).

Almost surely, 2400535053050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 400535053050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (546336750960).

400535053050 is an abundant number, since it is smaller than the sum of its proper divisors (692138448870).

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

400535053050 is a wasteful number, since it uses less digits than its factorization.

400535053050 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16909 (or 16893 counting only the distinct ones).

The product of its (nonzero) digits is 22500, while the sum is 30.

Adding to 400535053050 its reverse (50350535004), we get a palindrome (450885588054).

The spelling of 400535053050 in words is "four hundred billion, five hundred thirty-five million, fifty-three thousand, fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 121 150 165 242 275 330 363 550 605 726 825 1210 1429 1650 1815 2858 3025 3630 4287 6050 7145 8574 9075 14290 15443 15719 18150 21435 30886 31438 35725 42870 46329 47157 71450 77215 78595 92658 94314 107175 154430 157190 169873 172909 214350 231645 235785 339746 345818 386075 392975 463290 471570 509619 518727 772150 785950 849365 864545 1019238 1037454 1158225 1178925 1698730 1729090 1868603 2316450 2357850 2548095 2593635 3737206 4246825 4322725 5096190 5187270 5605809 8493650 8645450 9343015 11211618 12740475 12968175 18686030 22068047 25480950 25936350 28029045 44136094 46715075 56058090 66204141 93430150 110340235 132408282 140145225 220680470 242748517 280290450 331020705 485497034 551701175 662041410 728245551 1103402350 1213742585 1456491102 1655103525 2427485170 2670233687 3310207050 3641227755 5340467374 6068712925 7282455510 8010701061 12137425850 13351168435 16021402122 18206138775 26702336870 36412277550 40053505305 66755842175 80107010610 133511684350 200267526525 400535053050