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42354130321300 = 22527372277203941
BaseRepresentation
bin10011010000101010101101…
…11001000111111110010100
312112222000102011110010022111
421220111112321013332110
521022412224330240200
6230025115135040404
711630661555443110
oct1150252671077624
9175860364403274
1042354130321300
111254a31643a786
124900620670104
131a82c9231a945
14a65d45196740
154d6adc6670ba
hex268556e47f94

42354130321300 has 144 divisors (see below), whose sum is σ = 108352359255168. Its totient is φ = 14066701401600.

The previous prime is 42354130321291. The next prime is 42354130321319. The reversal of 42354130321300 is 312303145324.

It is a happy number.

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, 2277330 + ... + 9481270.

It is an arithmetic number, because the mean of its divisors is an integer number (752446939272).

Almost surely, 242354130321300 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42354130321300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54176179627584).

42354130321300 is an abundant number, since it is smaller than the sum of its proper divisors (65998228933868).

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

42354130321300 is a wasteful number, since it uses less digits than its factorization.

42354130321300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7204226 (or 7204219 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 31.

Adding to 42354130321300 its reverse (312303145324), we get a palindrome (42666433466624).

The spelling of 42354130321300 in words is "forty-two trillion, three hundred fifty-four billion, one hundred thirty million, three hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 37 50 70 74 100 140 148 175 185 227 259 350 370 454 518 700 740 908 925 1036 1135 1295 1589 1850 2270 2590 3178 3700 4540 5180 5675 6356 6475 7945 8399 11350 12950 15890 16798 22700 25900 31780 33596 39725 41995 58793 79450 83990 117586 158900 167980 209975 235172 293965 419950 587930 839900 1175860 1469825 2939650 5879300 7203941 14407882 28815764 36019705 50427587 72039410 100855174 144078820 180098525 201710348 252137935 266545817 360197050 504275870 533091634 720394100 1008551740 1066183268 1260689675 1332729085 1635294607 1865820719 2521379350 2665458170 3270589214 3731641438 5042758700 5330916340 6541178428 6663645425 7463282876 8176473035 9329103595 11447062249 13327290850 16352946070 18658207190 22894124498 26654581700 32705892140 37316414380 40882365175 45788248996 46645517975 57235311245 60505900459 81764730350 93291035950 114470622490 121011800918 163529460700 186582071900 228941244980 242023601836 286176556225 302529502295 423541303213 572353112450 605059004590 847082606426 1144706224900 1210118009180 1512647511475 1694165212852 2117706516065 3025295022950 4235413032130 6050590045900 8470826064260 10588532580325 21177065160650 42354130321300