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4440022466848 = 251910935639
BaseRepresentation
bin100000010011100010111…
…1101100100000100100000
3120201110110210121001010221
41000213011331210010200
51040221131222414343
613235415042332424
7635531616160003
oct100470575440440
916643423531127
104440022466848
111462003a27751
125b860a65a114
13262900054507
14114c80a7b53a
157a7663275ed
hex409c5f64120

4440022466848 has 96 divisors (see below), whose sum is σ = 9288206928000. Its totient is φ = 2083503866112.

The previous prime is 4440022466837. The next prime is 4440022466899. The reversal of 4440022466848 is 8486642200444.

It is a super-2 number, since 2×44400224668482 (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4440022466795 and 4440022466804.

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, 787374813 + ... + 787380451.

It is an arithmetic number, because the mean of its divisors is an integer number (96752155500).

Almost surely, 24440022466848 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 4440022466848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4644103464000).

4440022466848 is an abundant number, since it is smaller than the sum of its proper divisors (4848184461152).

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

4440022466848 is an frugal number, since it uses more digits than its factorization.

4440022466848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5995 (or 5769 counting only the distinct ones).

The product of its (nonzero) digits is 9437184, while the sum is 52.

The spelling of 4440022466848 in words is "four trillion, four hundred forty billion, twenty-two million, four hundred sixty-six thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 32 38 76 109 152 218 304 436 608 872 1744 2071 3488 4142 5639 8284 11278 11881 16568 22556 23762 33136 45112 47524 66272 90224 95048 107141 180448 190096 214282 225739 380192 428564 451478 614651 857128 902956 1229302 1295029 1714256 1805912 2458604 2590058 3428512 3611824 4917208 5180116 7223648 9834416 10360232 11678369 19668832 20720464 23356738 24605551 41440928 46713476 49211102 66996959 93426952 98422204 133993918 186853904 196844408 267987836 373707808 393688816 535975672 787377632 1071951344 1272942221 2143902688 2545884442 5091768884 7302668531 10183537768 14605337062 20367075536 29210674124 40734151072 58421348248 116842696496 138750702089 233685392992 277501404178 555002808356 1110005616712 2220011233424 4440022466848