Search a number
-
+
40210351300434 = 237291132831032347
BaseRepresentation
bin10010010010010001100111…
…01101001001111101010010
312021101001221112000020112110
421021020303231021331102
520232301244413103214
6221304214054410150
711320046663434140
oct1111106355117522
9167331845006473
1040210351300434
11118a3129033517
124615051360956
131958a872c4183
149d0297248590
1549ae6bce3159
hex249233b49f52

40210351300434 has 128 divisors (see below), whose sum is σ = 96259100682240. Its totient is φ = 10955486997504.

The previous prime is 40210351300423. The next prime is 40210351300519. The reversal of 40210351300434 is 43400315301204.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38434249 + ... + 39466595.

It is an arithmetic number, because the mean of its divisors is an integer number (752024224080).

Almost surely, 240210351300434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 40210351300434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48129550341120).

40210351300434 is an abundant number, since it is smaller than the sum of its proper divisors (56048749381806).

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

40210351300434 is a wasteful number, since it uses less digits than its factorization.

40210351300434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032784.

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 40210351300434 its reverse (43400315301204), we get a palindrome (83610666601638).

The spelling of 40210351300434 in words is "forty trillion, two hundred ten billion, three hundred fifty-one million, three hundred thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 14 21 29 42 58 87 113 174 203 226 283 339 406 566 609 678 791 849 1218 1582 1698 1981 2373 3277 3962 4746 5943 6554 8207 9831 11886 16414 19662 22939 24621 31979 45878 49242 57449 63958 68817 95937 114898 137634 172347 191874 223853 344694 447706 671559 927391 1032347 1343118 1854782 2064694 2782173 3097041 5564346 6194082 6491737 7226429 12983474 14452858 19475211 21679287 29938063 38950422 43358574 59876126 89814189 116655211 179628378 209566441 233310422 292154201 349965633 419132882 584308402 628699323 699931266 816586477 876462603 1257398646 1633172954 1752925206 2045079407 2449759431 3383001119 4090158814 4899518862 6135238221 6766002238 8472471829 10149003357 12270476442 16944943658 20298006714 23681007833 25417415487 33013424713 47362015666 50834830974 59307302803 66026849426 71043023499 99040274139 118614605606 142086046998 177921908409 198080548278 231093972991 355843816818 462187945982 693281918973 957389316677 1386563837946 1914778633354 2872167950031 5744335900062 6701725216739 13403450433478 20105175650217 40210351300434