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200143402440 = 233517173567107
BaseRepresentation
bin1011101001100101111…
…0011111010111001000
3201010121100010021122220
42322121132133113020
511234343202334230
6231540011414040
720313511564632
oct2723136372710
9633540107586
10200143402440
1177975807613
1232957754320
1315b47c4b0a7
14998916da52
155315d4dd10
hex2e9979f5c8

200143402440 has 128 divisors (see below), whose sum is σ = 639425612160. Its totient is φ = 49941622784.

The previous prime is 200143402421. The next prime is 200143402469. The reversal of 200143402440 is 44204341002.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 200143402440.

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, 69367 + ... + 636473.

It is an arithmetic number, because the mean of its divisors is an integer number (4995512595).

Almost surely, 2200143402440 is an apocalyptic number.

200143402440 is a gapful number since it is divisible by the number (20) 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 200143402440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319712806080).

200143402440 is an abundant number, since it is smaller than the sum of its proper divisors (439282209720).

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

200143402440 is a wasteful number, since it uses less digits than its factorization.

200143402440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 567311 (or 567307 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 200143402440 its reverse (44204341002), we get a palindrome (244347743442).

The spelling of 200143402440 in words is "two hundred billion, one hundred forty-three million, four hundred two thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 17 20 24 30 34 40 51 60 68 85 102 120 136 170 173 204 255 340 346 408 510 519 680 692 865 1020 1038 1384 1730 2040 2076 2595 2941 3460 4152 5190 5882 6920 8823 10380 11764 14705 17646 20760 23528 29410 35292 44115 58820 70584 88230 117640 176460 352920 567107 1134214 1701321 2268428 2835535 3402642 4536856 5671070 6805284 8506605 9640819 11342140 13610568 17013210 19281638 22684280 28922457 34026420 38563276 48204095 57844914 68052840 77126552 96408190 98109511 115689828 144612285 192816380 196219022 231379656 289224570 294328533 385632760 392438044 490547555 578449140 588657066 784876088 981095110 1156898280 1177314132 1471642665 1667861687 1962190220 2354628264 2943285330 3335723374 3924380440 5003585061 5886570660 6671446748 8339308435 10007170122 11773141320 13342893496 16678616870 20014340244 25017925305 33357233740 40028680488 50035850610 66714467480 100071701220 200143402440