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202421411424 = 25331912330739
BaseRepresentation
bin1011110010000101000…
…0011001111001100000
3201100111002121010112000
42330201100121321200
511304024340131144
6232554025204000
720424122415351
oct2744120317140
9640432533460
10202421411424
1178934678471
1233292630600
131611bb937bb
149b23915d28
1553ead29769
hex2f21419e60

202421411424 has 96 divisors (see below), whose sum is σ = 621469296000. Its totient is φ = 63922545792.

The previous prime is 202421411417. The next prime is 202421411449. The reversal of 202421411424 is 424114124202.

202421411424 is a `hidden beast` number, since 2 + 0 + 24 + 214 + 1 + 1 + 424 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6148954 + ... + 6181785.

It is an arithmetic number, because the mean of its divisors is an integer number (6473638500).

Almost surely, 2202421411424 is an apocalyptic number.

202421411424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

202421411424 is an abundant number, since it is smaller than the sum of its proper divisors (419047884576).

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

202421411424 is a wasteful number, since it uses less digits than its factorization.

202421411424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12330777 (or 12330763 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 27.

Adding to 202421411424 its reverse (424114124202), we get a palindrome (626535535626).

The spelling of 202421411424 in words is "two hundred two billion, four hundred twenty-one million, four hundred eleven thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 19 24 27 32 36 38 48 54 57 72 76 96 108 114 144 152 171 216 228 288 304 342 432 456 513 608 684 864 912 1026 1368 1824 2052 2736 4104 5472 8208 16416 12330739 24661478 36992217 49322956 73984434 98645912 110976651 147968868 197291824 221953302 234284041 295937736 332929953 394583648 443906604 468568082 591875472 665859906 702852123 887813208 937136164 1183750944 1331719812 1405704246 1775626416 1874272328 2108556369 2663439624 2811408492 3551252832 3748544656 4217112738 5326879248 5622816984 6325669107 7497089312 8434225476 10653758496 11245633968 12651338214 16868450952 22491267936 25302676428 33736901904 50605352856 67473803808 101210705712 202421411424