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200040020400 = 243521115154547
BaseRepresentation
bin1011101001001101010…
…0000111100110110000
3201010100010120221011110
42322103110013212300
511234140221123100
6231521435513320
720311115055363
oct2722324074660
9633303527143
10200040020400
1177922416110
1232928bb8840
1315b2c6c209c
14997953c0da
15530bc2c250
hex2e935079b0

200040020400 has 120 divisors (see below), whose sum is σ = 699048990144. Its totient is φ = 48494547200.

The previous prime is 200040020399. The next prime is 200040020419. The reversal of 200040020400 is 4020040002.

It is a tau number, because it is divible by the number of its divisors (120).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7564074 + ... + 7590473.

Almost surely, 2200040020400 is an apocalyptic number.

200040020400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200040020400 is an abundant number, since it is smaller than the sum of its proper divisors (499008969744).

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

200040020400 is a wasteful number, since it uses less digits than its factorization.

200040020400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15154579 (or 15154568 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 200040020400 its reverse (4020040002), we get a palindrome (204060060402).

The spelling of 200040020400 in words is "two hundred billion, forty million, twenty thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 132 150 165 176 200 220 240 264 275 300 330 400 440 528 550 600 660 825 880 1100 1200 1320 1650 2200 2640 3300 4400 6600 13200 15154547 30309094 45463641 60618188 75772735 90927282 121236376 151545470 166700017 181854564 227318205 242472752 303090940 333400034 363709128 378863675 454636410 500100051 606181880 666800068 727418256 757727350 833500085 909272820 1000200102 1136591025 1212363760 1333600136 1515454700 1667000170 1818545640 2000400204 2273182050 2500500255 2667200272 3030909400 3334000340 3637091280 4000800408 4167500425 4546364100 5001000510 6061818800 6668000680 8001600816 8335000850 9092728200 10002001020 12502501275 13336001360 16670001700 18185456400 20004002040 25005002550 33340003400 40008004080 50010005100 66680006800 100020010200 200040020400