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6142641233550 = 2352291607878719
BaseRepresentation
bin101100101100011000111…
…1100101101111010001110
3210202020020020011222221020
41121120301330231322032
51301120112123433200
621021520155415010
71202535242664633
oct131306174557216
923666206158836
106142641233550
111a59096924438
1283259a154466
133573301a0b83
1417343c11418a
15a9bb69d1ea0
hex59631f2de8e

6142641233550 has 96 divisors (see below), whose sum is σ = 15768876441600. Its totient is φ = 1580567640960.

The previous prime is 6142641233537. The next prime is 6142641233567. The reversal of 6142641233550 is 553321462416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6551091 + ... + 7429809.

It is an arithmetic number, because the mean of its divisors is an integer number (164259129600).

Almost surely, 26142641233550 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6142641233550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7884438220800).

6142641233550 is an abundant number, since it is smaller than the sum of its proper divisors (9626235208050).

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

6142641233550 is a wasteful number, since it uses less digits than its factorization.

6142641233550 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 880370 (or 880365 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

Adding to 6142641233550 its reverse (553321462416), we get a palindrome (6695962695966).

The spelling of 6142641233550 in words is "six trillion, one hundred forty-two billion, six hundred forty-one million, two hundred thirty-three thousand, five hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 29 30 50 58 75 87 145 150 174 290 435 725 870 1450 1607 2175 3214 4350 4821 8035 9642 16070 24105 40175 46603 48210 80350 93206 120525 139809 233015 241050 279618 466030 699045 878719 1165075 1398090 1757438 2330150 2636157 3495225 4393595 5272314 6990450 8787190 13180785 21967975 25482851 26361570 43935950 50965702 65903925 76448553 127414255 131807850 152897106 254828510 382242765 637071275 764485530 1274142550 1412101433 1911213825 2824202866 3822427650 4236304299 7060507165 8472608598 14121014330 21181521495 35302535825 40950941557 42363042990 70605071650 81901883114 105907607475 122852824671 204754707785 211815214950 245705649342 409509415570 614264123355 1023773538925 1228528246710 2047547077850 3071320616775 6142641233550