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4461433644140 = 22511198312859381
BaseRepresentation
bin100000011101100001000…
…1010101110010001101100
3120210111201222111112201022
41000323002022232101230
51041044004003103030
613253315422233312
7640220325161264
oct100730212562154
916714658445638
104461433644140
1114700a0a8a0a0
126007a5125838
13264932bc22a5
14115d125447a4
157b0bade4de5
hex40ec22ae46c

4461433644140 has 96 divisors (see below), whose sum is σ = 10888295927040. Its totient is φ = 1518435590400.

The previous prime is 4461433644131. The next prime is 4461433644169. The reversal of 4461433644140 is 414463341644.

It is a happy number.

It is a super-2 number, since 2×44614336441402 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 4461433644091 and 4461433644100.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6082751 + ... + 6776630.

It is an arithmetic number, because the mean of its divisors is an integer number (113419749240).

Almost surely, 24461433644140 is an apocalyptic number.

It is an amenable number.

4461433644140 is an abundant number, since it is smaller than the sum of its proper divisors (6426862282900).

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

4461433644140 is a wasteful number, since it uses less digits than its factorization.

4461433644140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12859503 (or 12859501 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 44.

Adding to 4461433644140 its reverse (414463341644), we get a palindrome (4875896985784).

The spelling of 4461433644140 in words is "four trillion, four hundred sixty-one billion, four hundred thirty-three million, six hundred forty-four thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 19 20 22 38 44 55 76 83 95 110 166 190 209 220 332 380 415 418 830 836 913 1045 1577 1660 1826 2090 3154 3652 4180 4565 6308 7885 9130 15770 17347 18260 31540 34694 69388 86735 173470 346940 12859381 25718762 51437524 64296905 128593810 141453191 244328239 257187620 282906382 488656478 565812764 707265955 977312956 1067328623 1221641195 1414531910 2134657246 2443282390 2687610629 2829063820 4269314492 4886564780 5336643115 5375221258 10673286230 10750442516 11740614853 13438053145 20279243837 21346572460 23481229706 26876106290 40558487674 46962459412 53752212580 58703074265 81116975348 101396219185 117406148530 202792438370 223071682207 234812297060 405584876740 446143364414 892286728828 1115358411035 2230716822070 4461433644140