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1402168593424 = 242326122112
BaseRepresentation
bin10100011001110111110…
…000101100110000010000
311222001020112120202101211
4110121313300230300100
5140433120124442144
62552051455105504
7203206021251604
oct24316760546020
94861215522354
101402168593424
114a0724686665
121a78bb512294
13a22bac90251
144bc1862d504
1526718726034
hex14677c2cc10

1402168593424 has 135 divisors (see below), whose sum is σ = 2901023129277. Its totient is φ = 656482780800.

The previous prime is 1402168593403. The next prime is 1402168593487. The reversal of 1402168593424 is 4243958612041.

The square root of 1402168593424 is 1184132.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 45595915024 + 1356572678400 = 213532^2 + 1164720^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 6645348679 + ... + 6645348889.

Almost surely, 21402168593424 is an apocalyptic number.

1402168593424 is the 1184132-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1402168593424

1402168593424 is an abundant number, since it is smaller than the sum of its proper divisors (1498854535853).

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

1402168593424 is an frugal number, since it uses more digits than its factorization.

1402168593424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 598 (or 297 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 49.

Multiplying 1402168593424 by its sum of digits (49), we get a square (68706261077776 = 82889242).

The spelling of 1402168593424 in words is "one trillion, four hundred two billion, one hundred sixty-eight million, five hundred ninety-three thousand, four hundred twenty-four".

Divisors: 1 2 4 8 16 23 46 61 92 122 184 211 244 368 422 488 529 844 976 1058 1403 1688 2116 2806 3376 3721 4232 4853 5612 7442 8464 9706 11224 12871 14884 19412 22448 25742 29768 32269 38824 44521 51484 59536 64538 77648 85583 89042 102968 111619 129076 171166 178084 205936 223238 258152 296033 342332 356168 446476 516304 592066 684664 712336 785131 892952 1023983 1184132 1369328 1570262 1785904 1968409 2047966 2368264 2715781 3140524 3936818 4095932 4736528 5431562 6281048 6808759 7873636 8191864 10863124 12562096 13617518 15747272 16383728 18058013 21726248 23551609 27235036 31494544 36116026 43452496 47103218 54470072 62462963 72232052 94206436 108940144 124925926 144464104 165662641 188412872 249851852 288928208 331325282 376825744 415334299 499703704 662650564 830668598 999407408 1325301128 1436648149 1661337196 2650602256 2873296298 3322674392 3810240743 5746592596 6645348784 7620481486 11493185192 15240962972 22986370384 30481925944 60963851888 87635537089 175271074178 350542148356 701084296712 1402168593424