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1402144220040 = 23351011031123189
BaseRepresentation
bin10100011001110110010…
…011101110001110001000
311222001011211201110101220
4110121312103232032020
5140433042410020130
62552045224442040
7203205304136304
oct24316623561610
94861154643356
101402144220040
114a0711949573
121a78b3319320
13a22b5c08325
144bc152c6d04
152671650e410
hex146764ee388

1402144220040 has 128 divisors (see below), whose sum is σ = 4289327827200. Its totient is φ = 366608563200.

The previous prime is 1402144220003. The next prime is 1402144220063. The reversal of 1402144220040 is 400224412041.

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 686766 + ... + 1809954.

It is an arithmetic number, because the mean of its divisors is an integer number (33510373650).

Almost surely, 21402144220040 is an apocalyptic number.

1402144220040 is a gapful number since it is divisible by the number (10) 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 1402144220040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2144663913600).

1402144220040 is an abundant number, since it is smaller than the sum of its proper divisors (2887183607160).

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

1402144220040 is a wasteful number, since it uses less digits than its factorization.

1402144220040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1123407 (or 1123403 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 1402144220040 its reverse (400224412041), we get a palindrome (1802368632081).

The spelling of 1402144220040 in words is "one trillion, four hundred two billion, one hundred forty-four million, two hundred twenty thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 101 103 120 202 206 303 309 404 412 505 515 606 618 808 824 1010 1030 1212 1236 1515 1545 2020 2060 2424 2472 3030 3090 4040 4120 6060 6180 10403 12120 12360 20806 31209 41612 52015 62418 83224 104030 124836 156045 208060 249672 312090 416120 624180 1123189 1248360 2246378 3369567 4492756 5615945 6739134 8985512 11231890 13478268 16847835 22463780 26956536 33695670 44927560 67391340 113442089 115688467 134782680 226884178 231376934 340326267 347065401 453768356 462753868 567210445 578442335 680652534 694130802 907536712 925507736 1134420890 1156884670 1361305068 1388261604 1701631335 1735327005 2268841780 2313769340 2722610136 2776523208 3403262670 3470654010 4537683560 4627538680 6806525340 6941308020 11684535167 13613050680 13882616040 23369070334 35053605501 46738140668 58422675835 70107211002 93476281336 116845351670 140214422004 175268027505 233690703340 280428844008 350536055010 467381406680 701072110020 1402144220040