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1144010032 = 2411101139463
BaseRepresentation
bin100010000110000…
…0011010100110000
32221201122201201221
41010030003110300
54320331310112
6305304034424
740230632134
oct10414032460
92851581657
101144010032
11537844740
1227b162a14
1315301c819
14abd173c4
156a67ae07
hex44303530

1144010032 has 80 divisors (see below), whose sum is σ = 2464842240. Its totient is φ = 510048000.

The previous prime is 1144010027. The next prime is 1144010051. The reversal of 1144010032 is 2300104411.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1144009988 and 1144010015.

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, 2470633 + ... + 2471095.

It is an arithmetic number, because the mean of its divisors is an integer number (30810528).

Almost surely, 21144010032 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 1144010032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1232421120).

1144010032 is an abundant number, since it is smaller than the sum of its proper divisors (1320832208).

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

1144010032 is a wasteful number, since it uses less digits than its factorization.

1144010032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 722 (or 716 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

The square root of 1144010032 is about 33823.2173513993. The cubic root of 1144010032 is about 1045.8673634841.

Adding to 1144010032 its reverse (2300104411), we get a palindrome (3444114443).

The spelling of 1144010032 in words is "one billion, one hundred forty-four million, ten thousand, thirty-two".

Divisors: 1 2 4 8 11 16 22 44 88 101 139 176 202 278 404 463 556 808 926 1111 1112 1529 1616 1852 2222 2224 3058 3704 4444 5093 6116 7408 8888 10186 12232 14039 17776 20372 24464 28078 40744 46763 56156 64357 81488 93526 112312 128714 154429 187052 224624 257428 308858 374104 514393 514856 617716 707927 748208 1028786 1029712 1235432 1415854 2057572 2470864 2831708 4115144 5663416 6500057 8230288 11326832 13000114 26000228 52000456 71500627 104000912 143001254 286002508 572005016 1144010032