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1074440422700 = 225271894913463
BaseRepresentation
bin11111010001010011010…
…00111100010100101100
310210201022121012201011122
433220221220330110230
5120100423222011300
62141331403040112
7140424430622321
oct17505150742454
93721277181148
101074440422700
11384738676297
12154297b10038
137a41c65a238
143a008a9ab48
151ce36ae7c85
hexfa29a3c52c

1074440422700 has 144 divisors (see below), whose sum is σ = 2396501614080. Its totient is φ = 417988032000.

The previous prime is 1074440422669. The next prime is 1074440422703. The reversal of 1074440422700 is 72240444701.

1074440422700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (1074440422703) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 310261169 + ... + 310264631.

It is an arithmetic number, because the mean of its divisors is an integer number (16642372320).

Almost surely, 21074440422700 is an apocalyptic number.

1074440422700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1074440422700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1198250807040).

1074440422700 is an abundant number, since it is smaller than the sum of its proper divisors (1322061191380).

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

1074440422700 is a wasteful number, since it uses less digits than its factorization.

1074440422700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4128 (or 4121 counting only the distinct ones).

The product of its (nonzero) digits is 50176, while the sum is 35.

The spelling of 1074440422700 in words is "one trillion, seventy-four billion, four hundred forty million, four hundred twenty-two thousand, seven hundred".

Divisors: 1 2 4 5 10 20 25 50 71 89 100 142 178 284 355 356 445 491 710 890 982 1420 1775 1780 1964 2225 2455 3463 3550 4450 4910 6319 6926 7100 8900 9820 12275 12638 13852 17315 24550 25276 31595 34630 34861 43699 49100 63190 69260 69722 86575 87398 126380 139444 157975 173150 174305 174796 218495 245873 308207 315950 346300 348610 436990 491746 616414 631900 697220 871525 873980 983492 1092475 1229365 1232828 1541035 1700333 1743050 2184950 2458730 3082070 3102629 3400666 3486100 4369900 4917460 6146825 6164140 6205258 6801332 7705175 8501665 12293650 12410516 15410350 15513145 17003330 21882697 24587300 30820700 31026290 34006660 42508325 43765394 62052580 77565725 85016650 87530788 109413485 120723643 151329637 155131450 170033300 218826970 241447286 302659274 310262900 437653940 482894572 547067425 603618215 605318548 756648185 1094134850 1207236430 1513296370 2188269700 2414472860 3018091075 3026592740 3783240925 6036182150 7566481850 10744404227 12072364300 15132963700 21488808454 42977616908 53722021135 107444042270 214888084540 268610105675 537220211350 1074440422700