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2442030144 = 263172925799
BaseRepresentation
bin1001000110001110…
…0110110001000000
320022012002222120220
42101203212301000
520000124431034
61042153103040
7114341625261
oct22143466100
96265088526
102442030144
11104350a434
125819b7a80
132cbc13568
14192480968
15e45c9749
hex918e6c40

2442030144 has 112 divisors (see below), whose sum is σ = 7077456000. Its totient is φ = 739680256.

The previous prime is 2442030133. The next prime is 2442030169. The reversal of 2442030144 is 4410302442.

It is a happy number.

It is a super-2 number, since 2×24420301442 = 11927022448409321472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a cake number, because a cake can be divided into 2442030144 parts by 2447 planar cuts.

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, 81757 + ... + 107555.

Almost surely, 22442030144 is an apocalyptic number.

2442030144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2442030144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3538728000).

2442030144 is an abundant number, since it is smaller than the sum of its proper divisors (4635425856).

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

2442030144 is a wasteful number, since it uses less digits than its factorization.

2442030144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25860 (or 25850 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2442030144 is about 49416.9014002295. The cubic root of 2442030144 is about 1346.6363713517.

Adding to 2442030144 its reverse (4410302442), we get a palindrome (6852332586).

The spelling of 2442030144 in words is "two billion, four hundred forty-two million, thirty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 29 32 34 48 51 58 64 68 87 96 102 116 136 174 192 204 232 272 348 408 464 493 544 696 816 928 986 1088 1392 1479 1632 1856 1972 2784 2958 3264 3944 5568 5916 7888 11832 15776 23664 25799 31552 47328 51598 77397 94656 103196 154794 206392 309588 412784 438583 619176 748171 825568 877166 1238352 1315749 1496342 1651136 1754332 2244513 2476704 2631498 2992684 3508664 4489026 4953408 5262996 5985368 7017328 8978052 10525992 11970736 12718907 14034656 17956104 21051984 23941472 25437814 28069312 35912208 38156721 42103968 47882944 50875628 71824416 76313442 84207936 101751256 143648832 152626884 203502512 305253768 407005024 610507536 814010048 1221015072 2442030144