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153004211410040 = 2351031093311029323
BaseRepresentation
bin100010110010100000010001…
…101010111001010001111000
3202001202001121120020212101022
4202302200101222321101320
5130023310111110110130
61301225055300442012
744141121664333034
oct4262402152712170
9661661546225338
10153004211410040
114482a7a3590701
12151b12a89a9308
13674b309a3b103
1429ad62c7791c4
1512a4ecd7587e5
hex8b2811ab9478

153004211410040 has 128 divisors (see below), whose sum is σ = 351850940812800. Its totient is φ = 59869978882560.

The previous prime is 153004211410009. The next prime is 153004211410201. The reversal of 153004211410040 is 40014112400351.

It is a junction number, because it is equal to n+sod(n) for n = 153004211409991 and 153004211410009.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 148130819 + ... + 149160141.

It is an arithmetic number, because the mean of its divisors is an integer number (2748835475100).

Almost surely, 2153004211410040 is an apocalyptic number.

153004211410040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

153004211410040 is an abundant number, since it is smaller than the sum of its proper divisors (198846729402760).

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

153004211410040 is a wasteful number, since it uses less digits than its factorization.

153004211410040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1029877 (or 1029873 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 153004211410040 its reverse (40014112400351), we get a palindrome (193018323810391).

The spelling of 153004211410040 in words is "one hundred fifty-three trillion, four billion, two hundred eleven million, four hundred ten thousand, forty".

Divisors: 1 2 4 5 8 10 20 40 103 109 206 218 331 412 436 515 545 662 824 872 1030 1090 1324 1655 2060 2180 2648 3310 4120 4360 6620 11227 13240 22454 34093 36079 44908 56135 68186 72158 89816 112270 136372 144316 170465 180395 224540 272744 288632 340930 360790 449080 681860 721580 1029323 1363720 1443160 2058646 3716137 4117292 5146615 7432274 8234584 10293230 14864548 18580685 20586460 29729096 37161370 41172920 74322740 106020269 112196207 148645480 212040538 224392414 340705913 424081076 448784828 530101345 560981035 681411826 848162152 897569656 1060202690 1121962070 1362823652 1703529565 2120405380 2243924140 2725647304 3407059130 4240810760 4487848280 6814118260 11556209321 13628236520 23112418642 35092709039 37136944517 46224837284 57781046605 70185418078 74273889034 92449674568 115562093210 140370836156 148547778068 175463545195 185684722585 231124186420 280741672312 297095556136 350927090390 371369445170 462248372840 701854180780 742738890340 1403708361560 1485477780680 3825105285251 7650210570502 15300421141004 19125526426255 30600842282008 38251052852510 76502105705020 153004211410040