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1220040144 = 24347113259
BaseRepresentation
bin100100010111000…
…0101010111010000
310011000201110110000
41020232011113100
54444312241034
6321021410000
742143112231
oct11056052720
93130643400
101220040144
11576754244
122a0709900
131659bcc5b
14b8069088
1572198599
hex48b855d0

1220040144 has 100 divisors (see below), whose sum is σ = 3581154720. Its totient is φ = 400921920.

The previous prime is 1220040131. The next prime is 1220040149. The reversal of 1220040144 is 4410400221.

1220040144 is a `hidden beast` number, since 1 + 220 + 0 + 401 + 44 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1220040149) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 85387 + ... + 98645.

Almost surely, 21220040144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220040144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1790577360).

1220040144 is an abundant number, since it is smaller than the sum of its proper divisors (2361114576).

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

1220040144 is a wasteful number, since it uses less digits than its factorization.

1220040144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13350 (or 13335 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 1220040144 is about 34929.0730481071. The cubic root of 1220040144 is about 1068.5414499814.

Adding to 1220040144 its reverse (4410400221), we get a palindrome (5630440365).

The spelling of 1220040144 in words is "one billion, two hundred twenty million, forty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 71 72 81 108 142 144 162 213 216 284 324 426 432 568 639 648 852 1136 1278 1296 1704 1917 2556 3408 3834 5112 5751 7668 10224 11502 13259 15336 23004 26518 30672 39777 46008 53036 79554 92016 106072 119331 159108 212144 238662 318216 357993 477324 636432 715986 941389 954648 1073979 1431972 1882778 1909296 2147958 2824167 2863944 3765556 4295916 5648334 5727888 7531112 8472501 8591832 11296668 15062224 16945002 17183664 22593336 25417503 33890004 45186672 50835006 67780008 76252509 101670012 135560016 152505018 203340024 305010036 406680048 610020072 1220040144