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1004255433120 = 25357129467589
BaseRepresentation
bin11101001110100100100…
…10011101000110100000
310120000011021202211022010
432213102102131012200
5112423203342324440
62045203143112520
7132361246223412
oct16472222350640
93500137684263
101004255433120
113579a2013875
1214276b142740
1373915ab28c4
143686b68c9b2
151b1ca145580
hexe9d249d1a0

1004255433120 has 96 divisors (see below), whose sum is σ = 3207959717760. Its totient is φ = 264029588480.

The previous prime is 1004255433091. The next prime is 1004255433157. The reversal of 1004255433120 is 213345524001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 14699715 + ... + 14767874.

It is an arithmetic number, because the mean of its divisors is an integer number (33416247060).

Almost surely, 21004255433120 is an apocalyptic number.

1004255433120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1004255433120 is an abundant number, since it is smaller than the sum of its proper divisors (2203704284640).

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

1004255433120 is a wasteful number, since it uses less digits than its factorization.

1004255433120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29467678 (or 29467670 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The spelling of 1004255433120 in words is "one trillion, four billion, two hundred fifty-five million, four hundred thirty-three thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 71 80 96 120 142 160 213 240 284 355 426 480 568 710 852 1065 1136 1420 1704 2130 2272 2840 3408 4260 5680 6816 8520 11360 17040 34080 29467589 58935178 88402767 117870356 147337945 176805534 235740712 294675890 353611068 442013835 471481424 589351780 707222136 884027670 942962848 1178703560 1414444272 1768055340 2092198819 2357407120 2828888544 3536110680 4184397638 4714814240 6276596457 7072221360 8368795276 10460994095 12553192914 14144442720 16737590552 20921988190 25106385828 31382982285 33475181104 41843976380 50212771656 62765964570 66950362208 83687952760 100425543312 125531929140 167375905520 200851086624 251063858280 334751811040 502127716560 1004255433120