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214132542420 = 223523155168509
BaseRepresentation
bin1100011101101101001…
…0110100101111010100
3202110201021011020002110
43013123102310233110
512002020412324140
6242212055311020
721320255402406
oct3073322645724
9673637136073
10214132542420
11828a4268525
123560067b470
1317267226b04
14a51501ab76
155884039380
hex31db4b4bd4

214132542420 has 48 divisors (see below), whose sum is σ = 625639432320. Its totient is φ = 54619314816.

The previous prime is 214132542401. The next prime is 214132542433. The reversal of 214132542420 is 24245231412.

It is a happy number.

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

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, 77582875 + ... + 77585634.

It is an arithmetic number, because the mean of its divisors is an integer number (13034154840).

Almost surely, 2214132542420 is an apocalyptic number.

214132542420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214132542420 is an abundant number, since it is smaller than the sum of its proper divisors (411506889900).

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

214132542420 is a wasteful number, since it uses less digits than its factorization.

214132542420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155168544 (or 155168542 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 30.

Adding to 214132542420 its reverse (24245231412), we get a palindrome (238377773832).

The spelling of 214132542420 in words is "two hundred fourteen billion, one hundred thirty-two million, five hundred forty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 30 46 60 69 92 115 138 230 276 345 460 690 1380 155168509 310337018 465505527 620674036 775842545 931011054 1551685090 1862022108 2327527635 3103370180 3568875707 4655055270 7137751414 9310110540 10706627121 14275502828 17844378535 21413254242 35688757070 42826508484 53533135605 71377514140 107066271210 214132542420