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2144356992 = 273217910399
BaseRepresentation
bin111111111010000…
…0100101010000000
312112102222121210100
41333310010222000
513342423410432
6552441002400
7104065506441
oct17764045200
95472877710
102144356992
11a00485168
124ba183400
1328234b8bb
14164b152c8
15c83ca07c
hex7fd04a80

2144356992 has 96 divisors (see below), whose sum is σ = 6205680000. Its totient is φ = 710724096.

The previous prime is 2144356979. The next prime is 2144356993. The reversal of 2144356992 is 2996534412.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (2144356993) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 201009 + ... + 211407.

It is an arithmetic number, because the mean of its divisors is an integer number (64642500).

Almost surely, 22144356992 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 2144356992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3102840000).

2144356992 is an abundant number, since it is smaller than the sum of its proper divisors (4061323008).

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

2144356992 is a wasteful number, since it uses less digits than its factorization.

2144356992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10598 (or 10583 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 2144356992 is about 46307.2023771681. The cubic root of 2144356992 is about 1289.5327097827.

The spelling of 2144356992 in words is "two billion, one hundred forty-four million, three hundred fifty-six thousand, nine hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 179 192 288 358 384 537 576 716 1074 1152 1432 1611 2148 2864 3222 4296 5728 6444 8592 10399 11456 12888 17184 20798 22912 25776 31197 34368 41596 51552 62394 68736 83192 93591 103104 124788 166384 187182 206208 249576 332768 374364 499152 665536 748728 998304 1331072 1497456 1861421 1996608 2994912 3722842 3993216 5584263 5989824 7445684 11168526 11979648 14891368 16752789 22337052 29782736 33505578 44674104 59565472 67011156 89348208 119130944 134022312 178696416 238261888 268044624 357392832 536089248 714785664 1072178496 2144356992