Search a number
-
+
35244151414420 = 22513747718129521
BaseRepresentation
bin10000000001101111010110…
…01000000001111010010100
311121210022022111202210212211
420000313223020001322110
514104420010230230140
6202542534543523204
710265206633053244
oct1000675310017224
9147708274683784
1035244151414420
1110258a62729963
123b52676bb9504
13168868099c270
1489bb7c8abb24
15411babb3a2ea
hex200deb201e94

35244151414420 has 48 divisors (see below), whose sum is σ = 79716668523408. Its totient is φ = 13011483985920.

The previous prime is 35244151414411. The next prime is 35244151414463. The reversal of 35244151414420 is 2441415144253.

It can be written as a sum of positive squares in 8 ways, for example, as 1637411988996 + 33606739425424 = 1279614^2 + 5797132^2 .

It is a super-3 number, since 3×352441514144203 (a number of 42 digits) contains 333 as substring.

It is a congruent number.

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, 7120741 + ... + 11008780.

It is an arithmetic number, because the mean of its divisors is an integer number (1660763927571).

Almost surely, 235244151414420 is an apocalyptic number.

It is an amenable number.

35244151414420 is an abundant number, since it is smaller than the sum of its proper divisors (44472517108988).

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

35244151414420 is a wasteful number, since it uses less digits than its factorization.

35244151414420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18137020 (or 18137018 counting only the distinct ones).

The product of its (nonzero) digits is 307200, while the sum is 40.

Adding to 35244151414420 its reverse (2441415144253), we get a palindrome (37685566558673).

The spelling of 35244151414420 in words is "thirty-five trillion, two hundred forty-four billion, one hundred fifty-one million, four hundred fourteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 7477 14954 29908 37385 74770 97201 149540 194402 388804 486005 972010 1944020 18129521 36259042 72518084 90647605 181295210 235683773 362590420 471367546 942735092 1178418865 2356837730 4713675460 135554428517 271108857034 542217714068 677772142585 1355544285170 1762207570721 2711088570340 3524415141442 7048830282884 8811037853605 17622075707210 35244151414420