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3024210400020 = 2232582320414543
BaseRepresentation
bin101100000000100000111…
…111001001001100010100
3101201010000102102000201100
4230000200333021030110
5344022040330300040
610233145244230100
7431330516155515
oct54004077111424
911633012360640
103024210400020
11a66618a25637
1240a141b3b330
1318c2495b51a4
14a6530460a0c
15539eee45b30
hex2c020fc9314

3024210400020 has 72 divisors (see below), whose sum is σ = 9184585003776. Its totient is φ = 805476169152.

The previous prime is 3024210399943. The next prime is 3024210400027. The reversal of 3024210400020 is 200040124203.

3024210400020 is a `hidden beast` number, since 3 + 0 + 242 + 1 + 0 + 400 + 0 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 3024210399966 and 3024210400002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3024210400027) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 10059132 + ... + 10355411.

It is an arithmetic number, because the mean of its divisors is an integer number (127563680608).

Almost surely, 23024210400020 is an apocalyptic number.

3024210400020 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

3024210400020 is an abundant number, since it is smaller than the sum of its proper divisors (6160374603756).

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

3024210400020 is a wasteful number, since it uses less digits than its factorization.

3024210400020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20415381 (or 20415376 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 3024210400020 its reverse (200040124203), we get a palindrome (3224250524223).

The spelling of 3024210400020 in words is "three trillion, twenty-four billion, two hundred ten million, four hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 823 1646 2469 3292 4115 4938 7407 8230 9876 12345 14814 16460 24690 29628 37035 49380 74070 148140 20414543 40829086 61243629 81658172 102072715 122487258 183730887 204145430 244974516 306218145 367461774 408290860 612436290 734923548 918654435 1224872580 1837308870 3674617740 16801168889 33602337778 50403506667 67204675556 84005844445 100807013334 151210520001 168011688890 201614026668 252017533335 302421040002 336023377780 504035066670 604842080004 756052600005 1008070133340 1512105200010 3024210400020