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1214420101344 = 25332116661511
BaseRepresentation
bin10001101011000001000…
…101000010100011100000
311022002122000200011021000
4101223001011002203200
5124344113021220334
62325521421232000
7153511314353562
oct21530105024340
94262560604230
101214420101344
1142903a53a71a
12177442a02600
138a699c55758
1442ac7719332
15218cab53299
hex11ac11428e0

1214420101344 has 96 divisors (see below), whose sum is σ = 3558846170880. Its totient is φ = 402888124800.

The previous prime is 1214420101261. The next prime is 1214420101361. The reversal of 1214420101344 is 4431010244121.

1214420101344 is a `hidden beast` number, since 1 + 214 + 4 + 2 + 0 + 101 + 344 = 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, 3148452 + ... + 3513059.

It is an arithmetic number, because the mean of its divisors is an integer number (37071314280).

Almost surely, 21214420101344 is an apocalyptic number.

It is an amenable number.

1214420101344 is an abundant number, since it is smaller than the sum of its proper divisors (2344426069536).

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

1214420101344 is a wasteful number, since it uses less digits than its factorization.

1214420101344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6661741 (or 6661727 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 1214420101344 its reverse (4431010244121), we get a palindrome (5645430345465).

The spelling of 1214420101344 in words is "one trillion, two hundred fourteen billion, four hundred twenty million, one hundred one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 211 216 288 422 432 633 844 864 1266 1688 1899 2532 3376 3798 5064 5697 6752 7596 10128 11394 15192 20256 22788 30384 45576 60768 91152 182304 6661511 13323022 19984533 26646044 39969066 53292088 59953599 79938132 106584176 119907198 159876264 179860797 213168352 239814396 319752528 359721594 479628792 639505056 719443188 959257584 1405578821 1438886376 1918515168 2811157642 2877772752 4216736463 5622315284 5755545504 8433472926 11244630568 12650209389 16866945852 22489261136 25300418778 33733891704 37950628167 44978522272 50600837556 67467783408 75901256334 101201675112 134935566816 151802512668 202403350224 303605025336 404806700448 607210050672 1214420101344