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1024132210040 = 235375393128311
BaseRepresentation
bin11101110011100110000…
…10010101110101111000
310121220110112102201021002
432321303002111311320
5113234410321210130
62102251351304132
7133663644103352
oct16716302256570
93556415381232
101024132210040
11365371a2a535
1214659797b048
1375762aa5574
14377d545a0d2
151b990170b45
hexee73095d78

1024132210040 has 64 divisors (see below), whose sum is σ = 2367033053760. Its totient is φ = 398504171520.

The previous prime is 1024132210001. The next prime is 1024132210093. The reversal of 1024132210040 is 400122314201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1024132209994 and 1024132210021.

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, 7917485 + ... + 8045795.

It is an arithmetic number, because the mean of its divisors is an integer number (36984891465).

Almost surely, 21024132210040 is an apocalyptic number.

1024132210040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1024132210040 is an abundant number, since it is smaller than the sum of its proper divisors (1342900843720).

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

1024132210040 is a wasteful number, since it uses less digits than its factorization.

1024132210040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133752 (or 133748 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

Adding to 1024132210040 its reverse (400122314201), we get a palindrome (1424254524241).

The spelling of 1024132210040 in words is "one trillion, twenty-four billion, one hundred thirty-two million, two hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 37 40 74 148 185 296 370 740 1480 5393 10786 21572 26965 43144 53930 107860 128311 199541 215720 256622 399082 513244 641555 798164 997705 1026488 1283110 1596328 1995410 2566220 3990820 4747507 5132440 7981640 9495014 18990028 23737535 37980056 47475070 94950140 189900280 691981223 1383962446 2767924892 3459906115 5535849784 6919812230 13839624460 25603305251 27679248920 51206610502 102413221004 128016526255 204826442008 256033052510 512066105020 1024132210040