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2342444521040 = 2451389191132499
BaseRepresentation
bin100010000101100100100…
…100101101011001010000
322021221020222121221122222
4202011210210231121100
5301334311244133130
64552034255320212
7331143646622621
oct42054444553120
98257228557588
102342444521040
11823474956a48
12319b93b20068
1313cb78a1b790
1481536acba48
1540deba90ce5
hex2216492d650

2342444521040 has 160 divisors (see below), whose sum is σ = 5962118400000. Its totient is φ = 850700759040.

The previous prime is 2342444521019. The next prime is 2342444521061. The reversal of 2342444521040 is 401254442432.

It is an interprime number because it is at equal distance from previous prime (2342444521019) and next prime (2342444521061).

It is a congruent number.

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, 17612711 + ... + 17745209.

It is an arithmetic number, because the mean of its divisors is an integer number (37263240000).

Almost surely, 22342444521040 is an apocalyptic number.

2342444521040 is a gapful number since it is divisible by the number (20) 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 2342444521040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2981059200000).

2342444521040 is an abundant number, since it is smaller than the sum of its proper divisors (3619673878960).

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

2342444521040 is a wasteful number, since it uses less digits than its factorization.

2342444521040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132805 (or 132799 counting only the distinct ones).

The product of its (nonzero) digits is 122880, while the sum is 35.

Adding to 2342444521040 its reverse (401254442432), we get a palindrome (2743698963472).

The spelling of 2342444521040 in words is "two trillion, three hundred forty-two billion, four hundred forty-four million, five hundred twenty-one thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 89 104 130 178 191 208 260 356 382 445 520 712 764 890 955 1040 1157 1424 1528 1780 1910 2314 2483 3056 3560 3820 4628 4966 5785 7120 7640 9256 9932 11570 12415 15280 16999 18512 19864 23140 24830 33998 39728 46280 49660 67996 84995 92560 99320 132499 135992 169990 198640 220987 264998 271984 339980 441974 529996 662495 679960 883948 1059992 1104935 1324990 1359920 1722487 1767896 2119984 2209870 2649980 3444974 3535792 4419740 5299960 6889948 8612435 8839480 10599920 11792411 13779896 17224870 17678960 23584822 25307309 27559792 34449740 47169644 50614618 58962055 68899480 94339288 101229236 117924110 126536545 137798960 153301343 188678576 202458472 235848220 253073090 306602686 328995017 404916944 471696440 506146180 613205372 657990034 766506715 943392880 1012292360 1226410744 1315980068 1533013430 1644975085 2024584720 2252350501 2452821488 2631960136 3066026860 3289950170 4504701002 5263920272 6132053720 6579900340 9009402004 11261752505 12264107440 13159800680 18018804008 22523505010 26319601360 29280556513 36037608016 45047010020 58561113026 90094020040 117122226052 146402782565 180188040080 234244452104 292805565130 468488904208 585611130260 1171222260520 2342444521040